Single Valued Neutrosophic Power Shapley Choquet Average Operators And Their Applications To Multi Criteria Decision Making

Author : Juan-juan Peng , Chao Tian,Zhi-qiang Zhang,Hai-yu Song,Jian-qiang Wang
Publisher : Infinite Study
Page : 29 pages
File Size : 44,5 Mb
Release : 2024-06-29
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.

Author : YUAN RONG,YI LIU,ZHENG PEI
Publisher : Infinite Study
Page : 24 pages
File Size : 54,5 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 8210379456XXX

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Generalized Single-Valued Neutrosophic Power Aggregation Operators Based on Archimedean Copula and Co-Copula and Their Application to Multi-Attribute Decision-Making by YUAN RONG,YI LIU,ZHENG PEI Pdf

Single-valued neutrosophic set (SVN) can valid depict the incompleteness, nondeterminacy and inconsistency of evaluation opinion, and the Power average (PA) operator can take into account the correlation of multiple discussed data. Meanwhile, Archimedean copula and co-copula (ACC) can signicant generate operational laws based upon diverse copulas.

Author : LE SUN,HAI DONG,ALEX X. LIU
Publisher : Infinite Study
Page : 33 pages
File Size : 40,8 Mb
Release : 2024-06-29
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.

Author : Kiran Chaudhary,Mansaf Alam
Publisher : CRC Press
Page : 212 pages
File Size : 54,9 Mb
Release : 2022-11-02
Category : Computers
ISBN : 9781000755787

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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.

Author : Shuping Zhao ,Dong Wang,Liang Changyong,Wenxing Lu
Publisher : Infinite Study
Page : 15 pages
File Size : 51,7 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 8210379456XXX

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Induced Choquet Integral Aggregation Operators with Single-Valued Neutrosophic Uncertain Linguistic Numbers and Their Application in Multiple Attribute Group Decision-Making by Shuping Zhao ,Dong Wang,Liang Changyong,Wenxing Lu Pdf

For real decision-making problems, aggregating the attributes which have interactive or correlated characteristics by traditional aggregation operators is unsuitable. Thus, applying Choquet integral operator to approximate and simulate human subjective decision-making process, in which independence among the input arguments is not necessarily assumed, would be suitable. Moreover, using single-valued neutrosophic uncertain linguistic sets (SVNULSs) can express the indeterminate, inconsistent, and incomplete information better than FSs and IFSs. In this paper, we studied the MAGDM problems with SVNULSs and proposed two single-valued neutrosophic uncertain linguistic Choquet integrate aggregation operators where the interactions phenomena among the attributes or the experts are considered. First, the definition, operational rules, and comparison method of single-valued neutrosophic uncertain linguistic numbers (SVNULNs) are introduced briefly. Second, induced single-valued neutrosophic uncertain linguistic Choquet ordered averaging (I-SVNULCA) operator and induced single-valued neutrosophic uncertain linguistic Choquet geometric (I-SVNULCG) operator are presented. Moreover, a few of its properties are discussed. Further, the procedure and algorithm of MAGDM based on the above single-valued neutrosophic uncertain linguistic Choquet integral operator are proposed. Finally, in the illustrative example, the practicality and effectiveness of the proposed method would be demonstrated.

Author : P. D. Liu,G. L. Tang,W. L. Liu
Publisher : Infinite Study
Page : 18 pages
File Size : 47,7 Mb
Release : 2024-06-29
Category : Business & Economics
ISBN : 8210379456XXX

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Induced generalized interval neutrosophic Shapley hybrid operators and their application in multi-attribute decision making by P. D. Liu,G. L. Tang,W. L. Liu Pdf

With respect to the interval neutrosophic Multi-Attribute Decision-Making (MADM) problems, the MADM method is developed based on some interval neutrosophic aggregation operators.

Author : XINDONG PENG
Publisher : Infinite Study
Page : 24 pages
File Size : 43,7 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 8210379456XXX

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New multiparametric similarity measure and distance measure for interval neutrosophic set with IoT industry evaluation by XINDONG PENG Pdf

In the epoch of Internet of Things (IoT), we are confronted five challenges (Connectivity, Value, Security, Telepresence and Intelligence) with complex structures. IoT industry decision making is critically important for countries or societies to enhance the effectiveness and validity of leadership, which can greatly accelerate industrialized and large-scale development. In the case of IoT industry decision evaluation, the essential problem arises serious incompleteness, impreciseness, subjectivity and incertitude. Interval neutrosophic set (INS), disposing the indeterminacy portrayed by truth membership T, indeterminacy membership I, and falsity membership F with interval form, is a more viable and effective means to seize indeterminacy.

Author : LIHUA YANG,BAOLIN LI
Publisher : Infinite Study
Page : 22 pages
File Size : 54,8 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 8210379456XXX

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Multiple-Valued Neutrosophic Uncertain Linguistic Sets With Dombi Normalized Weighted Bonferroni Mean Operator and Their Applications in Multiple Attribute Decision Making Problem by LIHUA YANG,BAOLIN LI Pdf

In order to take into account quantitative and qualitative information in real complex decision making issue, a multiple-valued neutrosophic uncertain linguistic set (MVNULS) is initially proposed, which includes the uncertain linguistic part and the multiple-valued neutrosophic set (MVNS). Consequently, it has the advantages of them in expressing evaluation information.

Author : XINDONG PENG ,JINGGUO DAI
Publisher : Infinite Study
Page : 17 pages
File Size : 50,8 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 8210379456XXX

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Interval Neutrosophic Reducible Weighted Maclaurin Symmetric Means With Internet of Medical Things (IoMt) Industry Evaluation by XINDONG PENG ,JINGGUO DAI Pdf

The Internet of Medical Things (IoMT) is a global infrastructure composing of plentiful applications and medical devices that are interconnected by ICT. In considering the problem of the IoMT industry evaluation, the requisite issue that concerns strong interaction and incertitude. The Maclaurin symmetric mean (MSM), as a resultful information concordant instrument, can capture the interrelation among multiple arguments more efciently. The abundance of the weighted MSMs has been presented to manage the different uncertain information aggregation issues by reason that the attribute variables are frequently diverse. However, these existing weighted form of MSM operators fail to possess the fundamental properties of idempotency and reducibility. To solve the above issues, we explore the interval neutrosophic reducible weighted MSM (INRWMSM) operator and the interval neutrosophic reducible weighted dual MSM (INRWDMSM) operator. Moreover, momentous properties and some special cases of the INRWMSM and INRWDMSM operators are discussed in detail.

Author : Ashraf Al-Quran,Azzah Awang,Mumtaz Ali,Lazim Abdullah
Publisher : Infinite Study
Page : 16 pages
File Size : 50,9 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 8210379456XXX

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Hesitant Bipolar-valued Neutrosophic set: Formulation, Theory and Application by Ashraf Al-Quran,Azzah Awang,Mumtaz Ali,Lazim Abdullah Pdf

This paper proposes a hesitant bipolar-valued neutrosophic set (HBVNS) based on the combination of bipolar neutrosophic sets and hesitant fuzzy sets. The proposed set generalizes the notions of fuzzy set, intuitionistic fuzzy set, hesitant fuzzy set, single-valued neutrosophic set, single-valued neutrosophic hesitant fuzzy set, bipolar fuzzy set and bipolar neutrosophic set. Further, we define the basic operational laws, union, intersection and complement for hesitant bipolar-valued neutrosophic elements (HBVNEs) and study its associated properties. Some relevant examples are also given to provide a better understanding of the proposed concept. Two aggregation operators are developed based on HBVNS which are the hesitant bipolar-valued neutrosophic weighted averaging (HBVNWA) and the hesitant bipolar-valued neutrosophic weighted geometric (HBVNWG). A decision making method is developed based on new sets and the proposed HBVNWA and HBVNWG operators. Finally, an illustrative example is given to show the applicability of the proposed decision making method. A comparative analysis with the existing methods is also provided.

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 10 pages
File Size : 43,7 Mb
Release : 2010-08-23
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set by Florentin Smarandache Pdf

In this paper one generalizes the intuitionistic fuzzy set (IFS), paraconsistent set, and intuitionistic set to the neutrosophic set (NS). Many examples are presented. Distinctions between NS and IFS are underlined.

Author : Jie Wang, Guiwu Wei, Mao Lu
Publisher : Infinite Study
Page : 17 pages
File Size : 54,5 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 8210379456XXX

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TODIM Method for Multiple Attribute Group Decision Making under 2-Tuple Linguistic Neutrosophic Environment by Jie Wang, Guiwu Wei, Mao Lu Pdf

In this article, we extend the original TODIM (Portuguese acronym for Interactive Multi-Criteria Decision Making) method to the 2-tuple linguistic neutrosophic fuzzy environment to propose the 2TLNNs TODIM method. In the extended method, we use 2-tuple linguistic neutrosophic numbers (2TLNNs) to present the criteria values in multiple attribute group decision making (MAGDM) problems.

Author : Harish Garg
Publisher : Springer Nature
Page : 443 pages
File Size : 49,8 Mb
Release : 2021-07-22
Category : Mathematics
ISBN : 9789811619892

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Pythagorean Fuzzy Sets by Harish Garg Pdf

This book presents a collection of recent research on topics related to Pythagorean fuzzy set, dealing with dynamic and complex decision-making problems. It discusses a wide range of theoretical and practical information to the latest research on Pythagorean fuzzy sets, allowing readers to gain an extensive understanding of both fundamentals and applications. It aims at solving various decision-making problems such as medical diagnosis, pattern recognition, construction problems, technology selection, and more, under the Pythagorean fuzzy environment, making it of much value to students, researchers, and professionals associated with the field.

Author : Pankaj Kakati ,Surajit Borkotokey,Radko Mesiar, Saifur Rahman
Publisher : Infinite Study
Page : 19 pages
File Size : 43,6 Mb
Release : 2024-06-29
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.

Author : Gustave Choquet
Publisher : Unknown
Page : 128 pages
File Size : 49,6 Mb
Release : 199?
Category : Electronic
ISBN : OCLC:849209203

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Theory of Capacities by Gustave Choquet Pdf