An Improved Multimoora Method For Multi Valued Neutrosophic Multi Criteria Group Decision Making Based On Prospect Theory

Author : Fei Xiao,Jing Wang,Jian-qiang Wang
Publisher : Infinite Study
Page : 32 pages
File Size : 47,6 Mb
Release : 2024-06-29
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.

Author : Florentin Smarandache ,Jun Ye
Publisher : Infinite Study
Page : 210 pages
File Size : 40,7 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 8210379456XXX

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Symmetry, vol. 9, issue 10 / 2007 - Special Issue: Neutrosophic Theories Applied in Engineering by Florentin Smarandache ,Jun Ye Pdf

This Special Issue presents original research papers that report on state-of-the-art and recent advancements in neutrosophic sets and logic in soft computing, artificial intelligence, big and small data mining, decision making problems, and practical achievements.

Author : Ru-xin Nie, Jian-qiang Wang ,Hong-yu Zhang
Publisher : Infinite Study
Page : 20 pages
File Size : 50,8 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 8210379456XXX

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Solving Solar-Wind Power Station Location Problem Using an Extended Weighted Aggregated Sum Product Assessment (WASPAS) Technique with Interval Neutrosophic Sets by Ru-xin Nie, Jian-qiang Wang ,Hong-yu Zhang Pdf

As one of the promising renewable energy resources, solar-wind energy has increasingly become a regional engine in leading the economy and raising competitiveness.

Author : Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi
Publisher : Infinite Study
Page : 674 pages
File Size : 47,8 Mb
Release : 2022-06-01
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems, vol. 50/2022 by Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi Pdf

“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every notion or idea together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this theory every idea tends to be neutralized and balanced by and ideas - as a state of equilibrium. In a classical way , , are disjoint two by two. But, since in many cases the borders between notions are vague, imprecise, Sorites, it is possible that , , (and of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic).

Author : Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi
Publisher : Infinite Study
Page : 970 pages
File Size : 45,5 Mb
Release : 2022-09-01
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems, vol. 51/2022 by Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi Pdf

“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every notion or idea together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this theory every idea tends to be neutralized and balanced by and ideas - as a state of equilibrium. In a classical way , , are disjoint two by two. But, since in many cases the borders between notions are vague, imprecise, Sorites, it is possible that , , (and of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic).

Author : NANCY
Publisher : Infinite Study
Page : 306 pages
File Size : 46,7 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 8210379456XXX

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METHODS FOR SOLVING DECISION-MAKING PROBLEMS UNDER UNCERTAIN ENVIRONMENT by NANCY Pdf

Multiple-criteria decision-making (MCDM) problems are the imperative part of modern decision theory where a set of alternatives has to be assessed against the multiple influential attributes before the best alternative is selected. In a decision-making(DM) process, an important problem is how to express the preference value. Due to the increasing complexity of the socioeconomic environment and the lack of knowledge or the data about the DM problems, it is difficult for the decision maker to give the exact decision as there is always an imprecise, vague or uncertain information.

Author : Melih Yucesan,Muhammet Gul
Publisher : Infinite Study
Page : 15 pages
File Size : 48,5 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 8210379456XXX

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Failure prioritization and control using the neutrosophic best and worst method by Melih Yucesan,Muhammet Gul Pdf

Failure prioritization process is described by identifying potential failures and its effects, quantifying their priorities and determining appropriate ways to mitigate or control. In the literature, many approaches are suggested to prioritize failures and associated effects quantitatively. Multicriteria decision-making (MCDM) approaches are forefront that they can express the failures verbally based on decision-makers’ judgments. They explain different types of uncertainties, which are generally modeled by fuzzy sets.

Author : Le Wang,Hong-yu Zhang,Jian-qiang Wang
Publisher : Infinite Study
Page : 16 pages
File Size : 43,9 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 8210379456XXX

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Frank Choquet Bonferroni Mean Operators of Bipolar Neutrosophic Sets and Their Application to Multi-criteria Decision-Making Problems by Le Wang,Hong-yu Zhang,Jian-qiang Wang Pdf

In this study, comprehensive multi-criteria decision-making (MCDM) methods are investigated under bipolar neutrosophic environment.

Author : Harish Sharma,Antorweep Chakravorty,Shahid Hussain,Rajani Kumari
Publisher : Springer Nature
Page : 531 pages
File Size : 55,8 Mb
Release : 2024-01-02
Category : Technology & Engineering
ISBN : 9789819984794

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Artificial Intelligence: Theory and Applications by Harish Sharma,Antorweep Chakravorty,Shahid Hussain,Rajani Kumari Pdf

This book features a collection of high-quality research papers presented at International Conference on Artificial Intelligence: Theory and Applications (AITA 2023), held during 11–12 August 2023 in Bengaluru, India. The book is divided into two volumes and presents original research and review papers related to artificial intelligence and its applications in various domains including health care, finance, transportation, education, and many more.

Author : Cengiz Kahraman
Publisher : Springer Nature
Page : 261 pages
File Size : 40,6 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 9783031546600

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Fuzzy Investment Decision Making with Examples by Cengiz Kahraman Pdf

Author : Yuanxiang Dong ,Chenjing Hou ,Yuchen Pan,Ke Gong
Publisher : Infinite Study
Page : 16 pages
File Size : 45,7 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 8210379456XXX

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Algorithm for Neutrosophic Soft Sets in Stochastic Multi-Criteria Group Decision Making Based on Prospect Theory by Yuanxiang Dong ,Chenjing Hou ,Yuchen Pan,Ke Gong Pdf

To address issues involving inconsistencies, this paper proposes a stochastic multi-criteria group decision making algorithm based on neutrosophic soft sets, which includes a pair of asymmetric functions: Truth-membership and false-membership, and an indeterminacy membership function. For integrating an inherent stochastic, the algorithm expresses the weights of decision makers and parameter subjective weights by neutrosophic numbers instead of determinate values. Additionally, the algorithm is guided by the prospect theory, which incorporates psychological expectations of decision makers into decision making. To construct the prospect decision matrix, this research establishes a conflict degree measure of neutrosophic numbers and improves it to accommodate the stochastic multi-criteria group decision making. Moreover, we introduce the weighted average aggregation rule and weighted geometric aggregation rule of neutrosophic soft sets. Later, this study presents an algorithm for neutrosophic soft sets in the stochastic multi-criteria group decision making based on the prospect theory. Finally, we perform an illustrative example and a comparative analysis to prove the effectiveness and feasibility of the proposed algorithm.

Author : Kalyan Mondal,Surapati Pramanik,Bibhas C. Giri
Publisher : Infinite Study
Page : 15 pages
File Size : 53,6 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 8210379456XXX

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Multi-criteria Group Decision Making based on Linguistic Refined Neutrosophic Strategy by Kalyan Mondal,Surapati Pramanik,Bibhas C. Giri Pdf

Multi-criteria group decision making (MCGDM) strategy, which consists of a group of experts acting collectively for best selection among all possible alternatives with respect to some criteria, is focused on in this study. To develop the paper, we define linguistic neutrosophic refine set. We also define entropy to calculate unknown weights of the criteria and establish basic properties of entropy in linguistic neutrosophy refine set environment. In the developed strategy, the rating of all alternatives is expressed with linguistic variables.

Author : Harish Garg,Nancy
Publisher : Infinite Study
Page : 25 pages
File Size : 55,6 Mb
Release : 2024-06-29
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.

Author : Surapati Pramanik,Rumi Roy,Tapan Kumar Roy
Publisher : Infinite Study
Page : 13 pages
File Size : 50,7 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 8210379456XXX

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Multi Criteria Decision Making Based on Projection and Bidirectional Projection Measures of Rough Neutrosophic Sets by Surapati Pramanik,Rumi Roy,Tapan Kumar Roy Pdf

In this paper, we define projection and bidirectional projection measures between rough neutrosophic sets. Then two new multi criteria decision making methods are proposed based on neutrosophic projection and bidirectional projection measures respectively. Then the proposed methods are applied for solving multiple criteria group decision making problems. Finally, two numerical examples are provided to demonstrate the applicability and effectiveness of the proposed methods.

Author : Surapati Pramanik, Shyamal Dalapati,Shariful Alam,Tapan Kumar Roy
Publisher : Infinite Study
Page : 16 pages
File Size : 46,5 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 8210379456XXX

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TODIM Method for Group Decision Making under Bipolar Neutrosophic Set Environment by Surapati Pramanik, Shyamal Dalapati,Shariful Alam,Tapan Kumar Roy Pdf

Classical TODIM (an acronym in Portuguese for Interactive Multi criteria Decision Making) method works on crisp numbers to solve multi-attribute group decision making problems.