A multiple criteria hesitant fuzzy decision making with Shapley value-based VIKOR method

In this article I use linguistic fuzzy-set theory to analyze the process of decision making in politics. I first introduce a number of relevant elements of (numerical and linguistic) fuzzy-set theory that are needed to understand the terminology as well as to grasp the scope and depth of the approach. I then explicate a linguistic fuzzy-set approach (LFSA) to the process of decision making under conditions in which the decision makers are required to simultaneously satisfy multiple criteria. The LFSA approach is illustrated through a running (hypothetical) example of a situation in which state leaders need to decide how to combine trust and power to make a choice on security alignment.

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Consensus-reaching methods for hesitant fuzzy multiple criteria group decision making with hesitant fuzzy decision making matrices

Frontiers of Information Technology & Electronic Engineering ◽

10.1631/fitee.1601546 ◽

2017 ◽

Vol 18 (11) ◽

pp. 1679-1692 ◽

Cited By ~ 3

Author(s):

Jie Ding ◽

Ze-shui Xu ◽

Hu-chang Liao

Keyword(s):

Decision Making ◽

Group Decision Making ◽

Group Decision ◽

Multiple Criteria ◽

Fuzzy Decision Making ◽

Fuzzy Decision ◽

Consensus Reaching

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Causal Relationships Among Multiple Criteria of Sustainable Development

International Journal of Social Ecology and Sustainable Development ◽

10.4018/ijsesd.2020070104 ◽

2020 ◽

Vol 11 (3) ◽

pp. 37-55

Author(s):

Lazim Abdullah

Keyword(s):

Economic Growth ◽

Decision Making ◽

Sustainable Development ◽

Causal Relationship ◽

Multiple Criteria ◽

Fuzzy Decision Making ◽

Fuzzy Decision ◽

Fuzzy Dematel ◽

Effect Relationship ◽

Research Findings

The assessment of sustainable development is really challenging due to multiple criteria that characterize sustainable development. These criteria are interdependent where one criterion may influence the effectiveness of the entire criteria. This article aims to unravel the causal relationship among the criteria of sustainable development. Five experts in sustainable development were invited to provide linguistic evaluation about the criteria of sustainable development in Terengganu Malaysia. The current research proposes the use of fuzzy decision-making trial and evaluation laboratory (DEMATEL) methods for the formation of causal relationship. The use of fuzzy DEMATEL approach is harmonious in dealing with experts' bias and ambiguity pertaining to the investigation. Research findings indicate that ‘economic growth' (C31) is the most important criteria in sustainable development in the investigated region. The main contribution of this paper is the establishment of the cause-effect relationship among fifteen criteria of sustainable development.

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Some Similarity Measures for Triangular Fuzzy Number and Their Applications in Multiple Criteria Group Decision-Making

Journal of Applied Mathematics ◽

10.1155/2013/538261 ◽

2013 ◽

Vol 2013 ◽

pp. 1-7 ◽

Cited By ~ 9

Author(s):

Liyuan Zhang ◽

Xuanhua Xu ◽

Li Tao

Keyword(s):

Decision Making ◽

Group Decision Making ◽

Group Decision ◽

Similarity Measures ◽

Triangular Fuzzy Number ◽

Multiple Criteria ◽

Fuzzy Decision Making ◽

Fuzzy Decision ◽

Triangular Fuzzy Numbers ◽

Decision Making Problem

We propose some similarity measures between two triangular fuzzy numbers (TFNs) based on the vector similarity measures in vector space, which can be used to aggregate the decision information with TFNs. A methodology for multiple criteria group decision-making (MCGDM) problems with triangular fuzzy information is proposed; the criteria values take the form of linguistic values, which can be converts to TFNs. According to the weighted similarity measures between each alternative and ideal alternative, it is easy to rank alternatives and select the most desirable alternative. Finally, we apply the proposed methods to an illustrative example of MCGDM; the numerical results show that our method is effective and practical. For comparison, we also apply our similarity measures method to solve the fuzzy decision-making problem in Wei (2011); our method has simpler computation and gets the same results more rapidly than the FLOWHM method.

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