Interval Neutrosophic Hesitant Fuzzy Choquet Integral In Multicriteria Decision Making

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Interval neutrosophic hesitant fuzzy choquet integral in multicriteria decision making

Pankaj Kakati ,Surajit Borkotokey,Radko Mesiar, Saifur Rahman
Interval neutrosophic hesitant fuzzy choquet integral in multicriteria decision making Book PDF

Author : Pankaj Kakati ,Surajit Borkotokey,Radko Mesiar, Saifur Rahman
Publisher : Infinite Study
Page : 19 pages
File Size : 41,5 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Interval neutrosophic hesitant fuzzy choquet integral in multicriteria decision making by Pankaj Kakati ,Surajit Borkotokey,Radko Mesiar, Saifur Rahman Pdf

We define the Interval Neutrosophic Hesitant Fuzzy Choquet Integral (INHFCI) operator as a useful tool for multicriteria decision making (MCDM). The INHFCI operator generalizes both the interval neutrosophic hesitant fuzzy ordered weighted averaging operator and the interval neutrosophic hesitant fuzzy weighted averaging operator. A modified version of the score function to make comparison among Interval Neutrosophic Hesitant Fuzzy elements is proposed. We develop an approach for multicriteria decision making based on the interval neutrosophic hesitant fuzzy choquet integral operator that applies to our proposed score function. Finally the model is illustrated with the help of an example.

Multi-Attribute Decision Making Based on Probabilistic Neutrosophic Hesitant Fuzzy Choquet Aggregation Operators

Songtao Shao, Xiaohong Zhang,Quan Zhao
Multi Attribute Decision Making Based on Probabilistic Neutrosophic Hesitant Fuzzy Choquet Aggregation Operators Book PDF

Author : Songtao Shao, Xiaohong Zhang,Quan Zhao
Publisher : Infinite Study
Page : 15 pages
File Size : 44,9 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Multi-Attribute Decision Making Based on Probabilistic Neutrosophic Hesitant Fuzzy Choquet Aggregation Operators by Songtao Shao, Xiaohong Zhang,Quan Zhao Pdf

Take the third-party logistics providers (3PLs) as an example, according to the characteristics of correlation between attributes in multi-attribute decision-making, two Choquet aggregation operators adoping probabilistic neutrosophic hesitation fuzzy elements (PNHFEs) are proposed to cope with the situations of correlation among criterions. This measure not only provides support for the correlation phenomenon between internal attributes, but also fully concerns the incidental uncertainty of the external space. Our goal is to make it easier for decision makers to cope with this uncertainty, thus we establish the notion of probabilistic neutrosophic hesitant fuzzy Choquet averaging (geometric) (PNHFCOA, PNHFCOG) operator. Based on this foundation, a method for aggregating decision makers’ information is proposed, and then the optimal decision scheme is obtained. Finally, an example of selecting optimal 3PL is given to demonstrate the objectivity of the above-mentioned standpoint.

Single-Valued Neutrosophic Hesitant Fuzzy Choquet Aggregation Operators for Multi-Attribute Decision Making

Xin Li , Xiaohong Zhang
Single Valued Neutrosophic Hesitant Fuzzy Choquet Aggregation Operators for Multi Attribute Decision Making Book PDF

Author : Xin Li , Xiaohong Zhang
Publisher : Infinite Study
Page : 15 pages
File Size : 45,5 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 8210379456XXX

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Single-Valued Neutrosophic Hesitant Fuzzy Choquet Aggregation Operators for Multi-Attribute Decision Making by Xin Li , Xiaohong Zhang Pdf

This paper aims at developing new methods for multi-attribute decision making (MADM) under a single-valued neutrosophic hesitant fuzzy environment, in which each element has sets of possible values designed by truth, indeterminacy, and falsity membership hesitant functions.

Single-Valued Neutrosophic Power Shapley Choquet Average Operators and Their Applications to Multi-Criteria Decision-Making

Juan-juan Peng , Chao Tian,Zhi-qiang Zhang,Hai-yu Song,Jian-qiang Wang
Single Valued Neutrosophic Power Shapley Choquet Average Operators and Their Applications to Multi Criteria Decision Making Book PDF

Author : Juan-juan Peng , Chao Tian,Zhi-qiang Zhang,Hai-yu Song,Jian-qiang Wang
Publisher : Infinite Study
Page : 29 pages
File Size : 40,7 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Single-Valued Neutrosophic Power Shapley Choquet Average Operators and Their Applications to Multi-Criteria Decision-Making by Juan-juan Peng , Chao Tian,Zhi-qiang Zhang,Hai-yu Song,Jian-qiang Wang Pdf

Single-valued neutrosophic sets (SVNSs), which involve in truth-membership, indeterminacy-membership and falsity-membership, play a significant role in describing the decision-makers’ preference information. In this study, a single-valued neutrosophic multi-criteria decision-making (MCDM) approach is developed based on Shapley fuzzy measures and power aggregation operator that takes a correlative relationship among criteria into account and also simultaneously reduces the effects of abnormal preference information.

Multi-criteria decision-making approach based on single-valued neutrosophic hesitant fuzzy geometric weighted choquet integral heronian mean operator

Juan-juan Peng,Jian-qiang Wang,Jun-hua Hu,Chao Tian
Multi criteria decision making approach based on single valued neutrosophic hesitant fuzzy geometric weighted choquet integral heronian mean operator Book PDF

Author : Juan-juan Peng,Jian-qiang Wang,Jun-hua Hu,Chao Tian
Publisher : Infinite Study
Page : 14 pages
File Size : 42,6 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Multi-criteria decision-making approach based on single-valued neutrosophic hesitant fuzzy geometric weighted choquet integral heronian mean operator by Juan-juan Peng,Jian-qiang Wang,Jun-hua Hu,Chao Tian Pdf

Single-valued neutrosophic hesitant fuzzy sets (SVNHFSs) have recently become a subject of great interest for researchers, and have been applied widely to multi-criteria decision-making (MCDM) problems. In this paper, the singlevalued neutrosophic hesitant fuzzy geometric weighted Choquet integral Heronian mean operator, which is based on the Heronian mean and Choquet integral, is proposed, and some special cases and the corresponding properties of the operator are discussed. Moreover, based on the proposed operator, an MCDM approach for handling single-valued neutrosophic hesitant fuzzy information where the weights are unknown is investigated. Furthermore, an illustrative example to demonstrate the applicability of the proposed decision-making approach is provided, together with a sensitivity analysis and comparison analysis, which proves that its results are feasible and credible.

Aggregation Functions Considering Criteria Interrelationships in Fuzzy Multi-Criteria Decision Making: State-of-the-Art

LE SUN,HAI DONG,ALEX X. LIU
Aggregation Functions Considering Criteria Interrelationships in Fuzzy Multi Criteria Decision Making State of the Art Book PDF

Author : LE SUN,HAI DONG,ALEX X. LIU
Publisher : Infinite Study
Page : 33 pages
File Size : 54,8 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Aggregation Functions Considering Criteria Interrelationships in Fuzzy Multi-Criteria Decision Making: State-of-the-Art by LE SUN,HAI DONG,ALEX X. LIU Pdf

Aggregation function is an important component in an information aggregation or information fusion system. Interrelationships usually exist between the input arguments (e.g., the criteria in the multicriteria decision making) of an aggregation function. In this paper, we make a comprehensive survey on the aggregation operators (AOs) that consider the argument interrelationships in crisp and fuzzy settings. In particular, we discuss the mechanisms of modeling the argument interrelationships of the Choquet integral (CI), the power average (PA), the Bonferroni mean (BM), the Heronian mean (HM), and the Maclaurin symmetric mean (MSM) operators, and introduce their extended (e.g., generalized or weighted) forms and their applications in different fuzzy sets. In addition, we compare these ve types of operators and summarize their advantages and disadvantages. Furthermore, we discuss the applications of these operators. Finally, we identify some future research directions in the AOs considering the argument interrelationships. The reviewed papers are mainly about the development of the CI, the PA, the BM, the HM, and the MSM in (fuzzy) MCDMs, most of which fall in the period of 20092018.

Multi-criteria Decision-making Approach based on Multi-valued Neutrosophic Geometric Weighted Choquet Integral Heronian Mean Operator

Juan-juan Peng,Jian-qiang Wang, Jun-hua Hu, Chao Tian
Multi criteria Decision making Approach based on Multi valued Neutrosophic Geometric Weighted Choquet Integral Heronian Mean Operator Book PDF

Author : Juan-juan Peng,Jian-qiang Wang, Jun-hua Hu, Chao Tian
Publisher : Infinite Study
Page : 14 pages
File Size : 41,6 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 8210379456XXX

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Multi-criteria Decision-making Approach based on Multi-valued Neutrosophic Geometric Weighted Choquet Integral Heronian Mean Operator by Juan-juan Peng,Jian-qiang Wang, Jun-hua Hu, Chao Tian Pdf

Multi-valued neutrosophic sets (MVNSs) have recently become a subject of great interest for researchers, and have been applied widely to multi-criteria decision-making (MCDM) problems.

Big Data Analytics

Kiran Chaudhary,Mansaf Alam
Big Data Analytics Book PDF

Author : Kiran Chaudhary,Mansaf Alam
Publisher : CRC Press
Page : 263 pages
File Size : 41,9 Mb
Release : 2022-11-02
Category : Computers
ISBN : 9781000755619

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Big Data Analytics by Kiran Chaudhary,Mansaf Alam Pdf

Big Data Analytics: Digital Marketing and Decision-Making covers the advances related to marketing and business analytics. Investment marketing analytics can create value through proper allocation of resources and resource orchestration processes. The use of data analytics tools can be used to improve and speed decision-making processes. Chapters examining analytics for decision-making cover such topics as: Big data analytics for gathering business intelligence Data analytics and consumer behavior The role of big data analytics in organizational decision-making This book also looks at digital marketing and focuses on such areas as: The prediction of marketing by consumer analytics Web analytics for digital marketing Smart retailing Leveraging web analytics for optimizing digital marketing strategies Big Data Analytics: Digital Marketing and Decision-Making aims to help organizations increase their profits by making better decisions on time through the use of data analytics. It is written for students, practitioners, industry professionals, researchers, and faculty working in the field of commerce and marketing, big data analytics, and organizational decision-making.

Generalization of Maximizing Deviation and TOPSIS Method for MADM in Simplified Neutrosophic Hesitant Fuzzy Environment

Muhammad Akram ,Sumera Naz, Florentin Smarandache
Generalization of Maximizing Deviation and TOPSIS Method for MADM in Simplified Neutrosophic Hesitant Fuzzy Environment Book PDF

Author : Muhammad Akram ,Sumera Naz, Florentin Smarandache
Publisher : Infinite Study
Page : 26 pages
File Size : 48,6 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Generalization of Maximizing Deviation and TOPSIS Method for MADM in Simplified Neutrosophic Hesitant Fuzzy Environment by Muhammad Akram ,Sumera Naz, Florentin Smarandache Pdf

With the development of the social economy and enlarged volume of information, the application of multiple-attribute decision-making (MADM) has become increasingly complex, uncertain, and obscure. As a further generalization of hesitant fuzzy set (HFS), simplified neutrosophic hesitant fuzzy set (SNHFS) is an efficient tool to process the vague information and contains the ideas of a single-valued neutrosophic hesitant fuzzy set (SVNHFS) and an interval neutrosophic hesitant fuzzy set (INHFS). In this paper, we propose a decision-making approach based on the maximizing deviation method and TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) to solve the MADM problems, in which the attribute weight information is incomplete, and the decision information is expressed in simplified neutrosophic hesitant fuzzy elements. Firstly, we inaugurate an optimization model on the basis of maximizing deviation method, which is useful to determine the attribute weights. Secondly, using the idea of the TOPSIS, we determine the relative closeness coefficient of each alternative and based on which we rank the considered alternatives to select the optimal one(s). Finally, we use a numerical example to show the detailed implementation procedure and effectiveness of our method in solvingMADMproblems under simplified neutrosophic hesitant fuzzy environment.

New types of Neutrosophic Set/Logic/Probability, Neutrosophic Over-/Under-/Off-Set, Neutrosophic Refined Set, and their Extension to Plithogenic Set/Logic/Probability, with Applications

Florentin Smarandache
New types of Neutrosophic Set Logic Probability Neutrosophic Over Under Off Set Neutrosophic Refined Set and their Extension to Plithogenic Set Logic Probability with Applications Book PDF

Author : Florentin Smarandache
Publisher : MDPI
Page : 714 pages
File Size : 52,7 Mb
Release : 2019-11-27
Category : Technology & Engineering
ISBN : 9783039219384

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New types of Neutrosophic Set/Logic/Probability, Neutrosophic Over-/Under-/Off-Set, Neutrosophic Refined Set, and their Extension to Plithogenic Set/Logic/Probability, with Applications by Florentin Smarandache Pdf

This book contains 37 papers by 73 renowned experts from 13 countries around the world, on following topics: neutrosophic set; neutrosophic rings; neutrosophic quadruple rings; idempotents; neutrosophic extended triplet group; hypergroup; semihypergroup; neutrosophic extended triplet group; neutrosophic extended triplet semihypergroup and hypergroup; neutrosophic offset; uninorm; neutrosophic offuninorm and offnorm; neutrosophic offconorm; implicator; prospector; n-person cooperative game; ordinary single-valued neutrosophic (co)topology; ordinary single-valued neutrosophic subspace; α-level; ordinary single-valued neutrosophic neighborhood system; ordinary single-valued neutrosophic base and subbase; fuzzy numbers; neutrosophic numbers; neutrosophic symmetric scenarios; performance indicators; financial assets; neutrosophic extended triplet group; neutrosophic quadruple numbers; refined neutrosophic numbers; refined neutrosophic quadruple numbers; multigranulation neutrosophic rough set; nondual; two universes; multiattribute group decision making; nonstandard analysis; extended nonstandard analysis; monad; binad; left monad closed to the right; right monad closed to the left; pierced binad; unpierced binad; nonstandard neutrosophic mobinad set; neutrosophic topology; nonstandard neutrosophic topology; visual tracking; neutrosophic weight; objectness; weighted multiple instance learning; neutrosophic triangular norms; residuated lattices; representable neutrosophic t-norms; De Morgan neutrosophic triples; neutrosophic residual implications; infinitely ∨-distributive; probabilistic neutrosophic hesitant fuzzy set; decision-making; Choquet integral; e-marketing; Internet of Things; neutrosophic set; multicriteria decision making techniques; uncertainty modeling; neutrosophic goal programming approach; shale gas water management system.

Hesitant Neutrosophic Linguistic Sets and Their Application in Multiple Attribute Decision Making

Yongfeng Pang,Wei Yang
Hesitant Neutrosophic Linguistic Sets and Their Application in Multiple Attribute Decision Making Book PDF

Author : Yongfeng Pang,Wei Yang
Publisher : Infinite Study
Page : 20 pages
File Size : 43,7 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 8210379456XXX

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Hesitant Neutrosophic Linguistic Sets and Their Application in Multiple Attribute Decision Making by Yongfeng Pang,Wei Yang Pdf

In this paper, the hesitant neutrosophic linguistic set is first defined by extending a hesitant fuzzy set to accommodate linguistic terms and neutrosophic fuzzy values. Some operational laws are defined for hesitant neutrosophic linguistic fuzzy information.

ALGORITHMS FOR INTERVAL NEUTROSOPHIC MULTIPLE ATTRIBUTE DECISION-MAKING BASED ON MABAC, SIMILARITY MEASURE, AND EDAS

Xindong Peng ,Jingguo Dai
ALGORITHMS FOR INTERVAL NEUTROSOPHIC MULTIPLE ATTRIBUTE DECISION MAKING BASED ON MABAC SIMILARITY MEASURE AND EDAS Book PDF

Author : Xindong Peng ,Jingguo Dai
Publisher : Infinite Study
Page : 27 pages
File Size : 51,5 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 8210379456XXX

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ALGORITHMS FOR INTERVAL NEUTROSOPHIC MULTIPLE ATTRIBUTE DECISION-MAKING BASED ON MABAC, SIMILARITY MEASURE, AND EDAS by Xindong Peng ,Jingguo Dai Pdf

In this paper, we define a new axiomatic definition of interval neutrosophic similarity measure, which is presented by interval neutrosophic number (INN).

Monitoring the temperature through moving average control under uncertainty environment

Muhammad Aslam,Abdulmohsen Al Shareef,Khushnoor Khan
Monitoring the temperature through moving average control under uncertainty environment Book PDF

Author : Muhammad Aslam,Abdulmohsen Al Shareef,Khushnoor Khan
Publisher : Infinite Study
Page : 8 pages
File Size : 43,5 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Monitoring the temperature through moving average control under uncertainty environment by Muhammad Aslam,Abdulmohsen Al Shareef,Khushnoor Khan Pdf

The existing moving average control charts can be only applied when all observations in the data are determined, precise, and certain. But, in practice, the data from the weather monitoring is not exact and express in the interval. In this situation, the available monitoring plans cannot be applied for the monitoring of weather data. A new moving average control chart for the normal distribution is offered under the neutrosophic statistics. The parameters of the offered chart are determined through simulation under neutrosophic statistics.

Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets

Florentin Smarandache,Xiaohong Zhang,Mumtaz Ali
Algebraic Structures of Neutrosophic Triplets Neutrosophic Duplets or Neutrosophic Multisets Book PDF

Author : Florentin Smarandache,Xiaohong Zhang,Mumtaz Ali
Publisher : MDPI
Page : 450 pages
File Size : 52,5 Mb
Release : 2019-04-04
Category : Mathematics
ISBN : 9783038974758

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Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets by Florentin Smarandache,Xiaohong Zhang,Mumtaz Ali Pdf

Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (, , ), where is an entity {i.e. element, concept, idea, theory, logical proposition, etc.}, is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor . Based on neutrosophy, the neutrosophic triplets were founded, which have a similar form (x, neut(x), anti(x)), that satisfy several axioms, for each element x in a given set. This collective book presents original research papers by many neutrosophic researchers from around the world, that report on the state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets and their algebraic structures – that have been defined recently in 2016 but have gained interest from world researchers. Connections between classical algebraic structures and neutrosophic triplet / duplet / multiset structures are also studied. And numerous neutrosophic applications in various fields, such as: multi-criteria decision making, image segmentation, medical diagnosis, fault diagnosis, clustering data, neutrosophic probability, human resource management, strategic planning, forecasting model, multi-granulation, supplier selection problems, typhoon disaster evaluation, skin lesson detection, mining algorithm for big data analysis, etc.

Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume II

Florentin Smarandache,Xiaohong Zhang,Mumtaz Ali
Algebraic Structures of Neutrosophic Triplets Neutrosophic Duplets or Neutrosophic Multisets Volume II Book PDF

Author : Florentin Smarandache,Xiaohong Zhang,Mumtaz Ali
Publisher : Infinite Study
Page : 450 pages
File Size : 52,7 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 9783038974765

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Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume II by Florentin Smarandache,Xiaohong Zhang,Mumtaz Ali Pdf

Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (, , ), where is an entity (i.e., element, concept, idea, theory, logical proposition, etc.), is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor . Based on neutrosophy, the neutrosophic triplets were founded; they have a similar form: (x, neut(x), anti(x), that satisfy some axioms, for each element x in a given set. This book contains the successful invited submissions to a special issue of Symmetry, reporting on state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets, and their algebraic structures—that have been defined recently in 2016, but have gained interest from world researchers, and several papers have been published in first rank international journals.