A Multi Criteria Decision Making Method Based On The Improved Single Valued Neutrosophic Weighted Geometric Operator

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A Multi-Criteria Decision-Making Method Based on the Improved Single-Valued Neutrosophic Weighted Geometric Operator

Chao Tian,Juan Juan Peng
A Multi Criteria Decision Making Method Based on the Improved Single Valued Neutrosophic Weighted Geometric Operator Book PDF

Author : Chao Tian,Juan Juan Peng
Publisher : Infinite Study
Page : 17 pages
File Size : 52,8 Mb
Release : 2024-06-27
Category : Mathematics
ISBN : 8210379456XXX

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A Multi-Criteria Decision-Making Method Based on the Improved Single-Valued Neutrosophic Weighted Geometric Operator by Chao Tian,Juan Juan Peng Pdf

The aggregation operator is one of the most common techniques to solve multi-criteria decision-making (MCDM) problems. The aim of this paper is to propose an MCDM method based on the improved single-valued neutrosophic weighted geometric (ISVNWG) operator. First, the defects of several existing single-valued neutrosophic weighted geometric aggregation operators in terms of producing uncertain results in some special cases are analyzed. Second, an ISVNWG operator is proposed to avoid the defects of existing operators. Further, the properties of the proposed ISVNWG operator, including idempotency, boundedness, monotonicity, and commutativity, are discussed. Finally, a single-valued neutrosophic MCDM method based on the developed ISVNWG operator is proposed to overcome the defects of existing MCDM methods based on existing operators. Application examples demonstrate that our proposed operator and corresponding MCDM method are effective and rational for avoiding uncertain results in some special cases.

Multi-Criteria Decision-Making Method Based on Prioritized Muirhead Mean Aggregation Operator under Neutrosophic Set Environment

Harish Garg,Nancy
Multi Criteria Decision Making Method Based on Prioritized Muirhead Mean Aggregation Operator under Neutrosophic Set Environment Book PDF

Author : Harish Garg,Nancy
Publisher : Infinite Study
Page : 25 pages
File Size : 48,9 Mb
Release : 2024-06-27
Category : Mathematics
ISBN : 8210379456XXX

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Multi-Criteria Decision-Making Method Based on Prioritized Muirhead Mean Aggregation Operator under Neutrosophic Set Environment by Harish Garg,Nancy Pdf

The aim of this paper is to introduce some new operators for aggregating single-valued neutrosophic (SVN) information and to apply them to solve the multi-criteria decision-making (MCDM) problems. Single-valued neutrosophic set, as an extension and generalization of an intuitionistic fuzzy set, is a powerful tool to describe the fuzziness and uncertainty, and Muirhead mean (MM) is a well-known aggregation operator which can consider interrelationships among any number of arguments assigned by a variable vector. In order to make full use of the advantages of both, we introduce two new prioritized MM aggregation operators, such as the SVN prioritized MM (SVNPMM) and SVN prioritized dual MM (SVNPDMM) under SVN set environment. In addition, some properties of these new aggregation operators are investigated and some special cases are discussed. Furthermore, we propose a new method based on these operators for solving the MCDM problems. Finally, an illustrative example is presented to testify the efficiency and superiority of the proposed method by comparing it with the existing method.

Multi Criteria Decision Making Method in Neutrosophic Environment Using a New Aggregation Operator, Score and Certainty Function

KANIKA MANDAL, KAJLA BASU
Multi Criteria Decision Making Method in Neutrosophic Environment Using a New Aggregation Operator Score and Certainty Function Book PDF

Author : KANIKA MANDAL, KAJLA BASU
Publisher : Infinite Study
Page : 20 pages
File Size : 53,8 Mb
Release : 2024-06-27
Category : Electronic
ISBN : 8210379456XXX

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Multi Criteria Decision Making Method in Neutrosophic Environment Using a New Aggregation Operator, Score and Certainty Function by KANIKA MANDAL, KAJLA BASU Pdf

Neutrosophic sets, being generalization of classic sets, fuzzy sets and intuitionistic fuzzy sets, can simultaneously represent uncertain, imprecise, incomplete, and inconsistent information existing in the real world. Neutrosophic theory has been developed in twenty first century and not much of arithmetic has been developed for this set.

An improved MULTIMOORA method for multi-valued neutrosophic multi-criteria group decision-making based on prospect theory

Fei Xiao,Jing Wang,Jian-qiang Wang
An improved MULTIMOORA method for multi valued neutrosophic multi criteria group decision making based on prospect theory Book PDF

Author : Fei Xiao,Jing Wang,Jian-qiang Wang
Publisher : Infinite Study
Page : 32 pages
File Size : 48,9 Mb
Release : 2024-06-27
Category : Mathematics
ISBN : 8210379456XXX

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An improved MULTIMOORA method for multi-valued neutrosophic multi-criteria group decision-making based on prospect theory by Fei Xiao,Jing Wang,Jian-qiang Wang Pdf

At present, there are many subways being constructed in many cities. In the construction of subways, an appropriate scheme is helpful to save cost and ensure the quality of the project. This paper attaches great importance to present a multi-criteria group decision-making (MCGDM) method to deal with selecting an appropriate construction scheme for subways. The process of selecting an appropriate construction scheme for subways is complex because it includes a great deal of fuzzy and uncertain information which can be presented by multi-valued neutrosophic numbers (MVNNs). In addition, in order to handle the interaction of inputs, an improved generalized multi-valued neutrosophic weighted Heronian mean (IGMVNWHM) operator is introduced. Subsequently, a new distance measure between two MVNNs is defined for deriving the objective criteria weights.

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 : 52,5 Mb
Release : 2024-06-27
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.

Models for Multiple Attribute Decision-Making with Dual Generalized Single-Valued Neutrosophic Bonferroni Mean Operators

Jie Wang, Xiyue Tang , Guiwu Wei
Models for Multiple Attribute Decision Making with Dual Generalized Single Valued Neutrosophic Bonferroni Mean Operators Book PDF

Author : Jie Wang, Xiyue Tang , Guiwu Wei
Publisher : Infinite Study
Page : 15 pages
File Size : 52,9 Mb
Release : 2024-06-27
Category : Electronic
ISBN : 8210379456XXX

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Models for Multiple Attribute Decision-Making with Dual Generalized Single-Valued Neutrosophic Bonferroni Mean Operators by Jie Wang, Xiyue Tang , Guiwu Wei Pdf

In this article, we expand the dual generalized weighted BM (DGWBM) and dual generalized weighted geometric Bonferroni mean (DGWGBM) operator with single valued neutrosophic numbers (SVNNs) to propose the dual generalized single-valued neutrosophic number WBM (DGSVNNWBM) operator and dual generalized single-valued neutrosophic numbers WGBM (DGSVNNWGBM) operator.

Multi-Criteria Decision-Making Method Based on Single-Valued Neutrosophic Schweizer–Sklar Muirhead Mean Aggregation Operators

Huanying Zhang,Fei Wang,Yushui Geng
Multi Criteria Decision Making Method Based on Single Valued Neutrosophic Schweizer Sklar Muirhead Mean Aggregation Operators Book PDF

Author : Huanying Zhang,Fei Wang,Yushui Geng
Publisher : Infinite Study
Page : 21 pages
File Size : 42,9 Mb
Release : 2024-06-27
Category : Business & Economics
ISBN : 8210379456XXX

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Multi-Criteria Decision-Making Method Based on Single-Valued Neutrosophic Schweizer–Sklar Muirhead Mean Aggregation Operators by Huanying Zhang,Fei Wang,Yushui Geng Pdf

Schweizer–Sklar (SS) operation can make information aggregation more flexible, and the Muirhead mean (MM) operator can take into account the correlation between inputs by a variable parameter. Because traditional MM is only available for real numbers and single-valued neutrosophic set (SVNS) can better express incomplete and uncertain information in decision systems, in this paper, we applied MM operators to single-valued neutrosophic sets (SVNSs) and presented two new MM aggregation operators with the SS operation, i.e., a single-valued neutrosophic SS Muirhead mean (SVNSSMM) operator and a weighted single-valued neutrosophic SS MM (WSVNSSMM) operator.

Hybrid Weighted Arithmetic and Geometric Aggregation Operator of Neutrosophic Cubic Sets for MADM

Lilian Shi ,Yue Yuan
Hybrid Weighted Arithmetic and Geometric Aggregation Operator of Neutrosophic Cubic Sets for MADM Book PDF

Author : Lilian Shi ,Yue Yuan
Publisher : Infinite Study
Page : 12 pages
File Size : 46,7 Mb
Release : 2024-06-27
Category : Mathematics
ISBN : 8210379456XXX

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Hybrid Weighted Arithmetic and Geometric Aggregation Operator of Neutrosophic Cubic Sets for MADM by Lilian Shi ,Yue Yuan Pdf

Neutrosophic cubic sets (NCSs) can express complex multi-attribute decision-making (MADM) problems with its interval and single-valued neutrosophic numbers simultaneously. The weighted arithmetic average (WAA) and geometric average (WGA) operators are common aggregation operators for handling MADM problems. However, the neutrosophic cubic weighted arithmetic average (NCWAA) and neutrosophic cubic geometric weighted average (NCWGA) operators may result in some unreasonable aggregated values in some cases. In order to overcome the drawbacks of the NCWAA and NCWGA, this paper developed a new neutrosophic cubic hybrid weighted arithmetic and geometric aggregation (NCHWAGA) operator and investigates its suitability and effectiveness. Then, we established a MADM method based on the NCHWAGA operator. Finally, a MADM problem with neutrosophic cubic information was provided to illustrate the application and effectiveness of the proposed method.

Some Interval Neutrosophic Dombi Power Bonferroni Mean Operators and Their Application in Multi–Attribute Decision–Making

Qaisar Khan,Peide Liu,Tahir Mahmood,Florentin Smarandache,Kifayat Ullah
Some Interval Neutrosophic Dombi Power Bonferroni Mean Operators and Their Application in Multi Attribute Decision Making Book PDF

Author : Qaisar Khan,Peide Liu,Tahir Mahmood,Florentin Smarandache,Kifayat Ullah
Publisher : Infinite Study
Page : 32 pages
File Size : 55,9 Mb
Release : 2024-06-27
Category : Mathematics
ISBN : 8210379456XXX

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Some Interval Neutrosophic Dombi Power Bonferroni Mean Operators and Their Application in Multi–Attribute Decision–Making by Qaisar Khan,Peide Liu,Tahir Mahmood,Florentin Smarandache,Kifayat Ullah Pdf

In this article, we first define some operational laws for interval neutrosophic numbers (INNs) based on Dombi TN and TCN and discuss several desirable properties of these operational rules. Secondly, we extend the PBM operator based on Dombi operations to develop an interval-neutrosophic Dombi PBM (INDPBM) operator, an interval-neutrosophic weighted Dombi PBM (INWDPBM) operator, an interval-neutrosophic Dombi power geometric Bonferroni mean (INDPGBM) operator and an interval-neutrosophic weighted Dombi power geometric Bonferroni mean (INWDPGBM) operator, and discuss several properties of these aggregation operators.

New Trends in Neutrosophic Theory and Applications

Florentin Smarandache (editor),Surapati Pramanik (editor)
New Trends in Neutrosophic Theory and Applications Book PDF

Author : Florentin Smarandache (editor),Surapati Pramanik (editor)
Publisher : Infinite Study
Page : 424 pages
File Size : 51,5 Mb
Release : 2016-11-05
Category : Electronic
ISBN : 9781599734989

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New Trends in Neutrosophic Theory and Applications by Florentin Smarandache (editor),Surapati Pramanik (editor) Pdf

Neutrosophic theory and applications have been expanding in all directions at an astonishing rate especially after the introduction the journal entitled “Neutrosophic Sets and Systems”. New theories, techniques, algorithms have been rapidly developed. One of the most striking trends in the neutrosophic theory is the hybridization of neutrosophic set with other potential sets such as rough set, bipolar set, soft set, hesitant fuzzy set, etc. The different hybrid structure such as rough neutrosophic set, single valued neutrosophic rough set, bipolar neutrosophic set, single valued neutrosophic hesitant fuzzy set, etc. are proposed in the literature in a short period of time. Neutrosophic set has been a very important tool in all various areas of data mining, decision making, e-learning, engineering, medicine, social science, and some more. The book “New Trends in Neutrosophic Theories and Applications” focuses on theories, methods, algorithms for decision making and also applications involving neutrosophic information. Some topics deal with data mining, decision making, e-learning, graph theory, medical diagnosis, probability theory, topology, and some more. 30 papers by 39 authors and coauthors.

Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets

Cengiz Kahraman,İrem Otay
Fuzzy Multi criteria Decision Making Using Neutrosophic Sets Book PDF

Author : Cengiz Kahraman,İrem Otay
Publisher : Springer
Page : 735 pages
File Size : 48,9 Mb
Release : 2018-11-03
Category : Technology & Engineering
ISBN : 9783030000455

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Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets by Cengiz Kahraman,İrem Otay Pdf

This book offers a comprehensive guide to the use of neutrosophic sets in multiple criteria decision making problems. It shows how neutrosophic sets, which have been developed as an extension of fuzzy and paraconsistent logic, can help in dealing with certain types of uncertainty that classical methods could not cope with. The chapters, written by well-known researchers, report on cutting-edge methodologies they have been developing and testing on a variety of engineering problems. The book is unique in its kind as it reports for the first time and in a comprehensive manner on the joint use of neutrosophic sets together with existing decision making methods to solve multi-criteria decision-making problems, as well as other engineering problems that are complex, hard to model and/or include incomplete and vague data. By providing new ideas, suggestions and directions for the solution of complex problems in engineering and decision making, it represents an excellent guide for researchers, lecturers and postgraduate students pursuing research on neutrosophic decision making, and more in general in the area of industrial and management engineering.

An Extended Single-Valued Neutrosophic Projection-Based Qualitative Flexible Multi-Criteria Decision-Making Method

Chao Tian,Wen Yu Zhang,Shuai Zhang,Juan Juan Peng
An Extended Single Valued Neutrosophic Projection Based Qualitative Flexible Multi Criteria Decision Making Method Book PDF

Author : Chao Tian,Wen Yu Zhang,Shuai Zhang,Juan Juan Peng
Publisher : Infinite Study
Page : 16 pages
File Size : 40,9 Mb
Release : 2024-06-27
Category : Mathematics
ISBN : 8210379456XXX

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An Extended Single-Valued Neutrosophic Projection-Based Qualitative Flexible Multi-Criteria Decision-Making Method by Chao Tian,Wen Yu Zhang,Shuai Zhang,Juan Juan Peng Pdf

With respect to multi-criteria decision-making (MCDM) problems in which the criteria denote the form of single-valued neutrosophic sets (SVNSs), and the weight information is also fully unknown, a novel MCDM method based on qualitative flexible multiple criteria (QUALIFLEX) is developed. Firstly, the improved cosine measure of the included angle between two SVNSs is defined.

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 : 40,7 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.

Multi-Criteria Decision-Making Method Based on Prioritized Muirhead Mean Aggregation Operator under Neutrosophic Set Environment

Harish Garg,Nancy
Multi Criteria Decision Making Method Based on Prioritized Muirhead Mean Aggregation Operator under Neutrosophic Set Environment Book PDF

Author : Harish Garg,Nancy
Publisher : Infinite Study
Page : 25 pages
File Size : 41,6 Mb
Release : 2024-06-27
Category : Business & Economics
ISBN : 8210379456XXX

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Multi-Criteria Decision-Making Method Based on Prioritized Muirhead Mean Aggregation Operator under Neutrosophic Set Environment by Harish Garg,Nancy Pdf

The aim of this paper is to introduce some new operators for aggregating single-valued neutrosophic (SVN) information and to apply them to solve the multi-criteria decision-making (MCDM) problems.

Multi-Criteria Decision Making Approach Using the Fuzzy Measures for Environmental Improvement under Neutrosophic Environment

Gang Li,Chonghuai Niu,Chao Zhang
Multi Criteria Decision Making Approach Using the Fuzzy Measures for Environmental Improvement under Neutrosophic Environment Book PDF

Author : Gang Li,Chonghuai Niu,Chao Zhang
Publisher : Infinite Study
Page : 11 pages
File Size : 41,8 Mb
Release : 2024-06-27
Category : Business & Economics
ISBN : 8210379456XXX

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Multi-Criteria Decision Making Approach Using the Fuzzy Measures for Environmental Improvement under Neutrosophic Environment by Gang Li,Chonghuai Niu,Chao Zhang Pdf

In this study, we develop a multi-attribute decision making (MADM) method based on the single valued neutrosophic information measures. Under the single valued neutrosophic environment, three axiomatic definitions of information measures are first introduced, including entropy, similarity measure and cross-entropy.