Journal ArticleDOI
Hesitant fuzzy multi-attribute decision making based on TOPSIS with incomplete weight information
Zeshui Xu,Xiaolu Zhang +1 more
TLDR
A novel approach based on TOPSIS and the maximizing deviation method for solving MADM problems, in which the evaluation information provided by the decision maker is expressed in hesitant fuzzy elements and the information about attribute weights is incomplete is developed.Abstract:
Hesitant fuzzy set (HFS), which allows the membership degree of an element to a set represented by several possible values, is considered as a powerful tool to express uncertain information in the process of multi-attribute decision making (MADM) problems. In this paper, we develop a novel approach based on TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) and the maximizing deviation method for solving MADM problems, in which the evaluation information provided by the decision maker is expressed in hesitant fuzzy elements and the information about attribute weights is incomplete. There are two key issues being addressed in this approach. The first one is to establish an optimization model based on the maximizing deviation method, which can be used to determine the attribute weights. According to the idea of the TOPSIS of Hwang and Yoon [1], the second one is to calculate the relative closeness coefficient of each alternative to the hesitant positive-ideal solution, based on which the considered alternatives are ranked and then the most desirable one is selected. An energy policy selection problem is used to illustrate the detailed implementation process of the proposed approach, and demonstrate its validity and applicability. Finally, the extended results in interval-valued hesitant fuzzy situations are also pointed out.read more
Citations
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Book ChapterDOI
Multiple criteria decision making
János Fodor,Marc Roubens +1 more
TL;DR: In this Chapter, a decision maker (or a group of experts) trying to establish or examine fair procedures to combine opinions about alternatives related to different points of view is imagined.
Journal ArticleDOI
Extension of TOPSIS to Multiple Criteria Decision Making with Pythagorean Fuzzy Sets
Xiaolu Zhang,Zeshui Xu +1 more
TL;DR: Some novel operational laws of PFSs are defined and an extended technique for order preference by similarity to ideal solution method is proposed to deal effectively with them for the multicriteria decision‐making problems with PFS.
Journal ArticleDOI
Hesitant Fuzzy Sets: State of the Art and Future Directions
TL;DR: An overview on hesitant fuzzy sets is presented with the aim of providing a clear perspective on the different concepts, tools and trends related to this extension of fuzzy sets.
Journal ArticleDOI
Fuzzy Multicriteria Decision-Making: A Literature Review
TL;DR: This paper surveys the latest status of fuzzy multicriteria decision-making methods and classify these methods dividing into two parts: fuzzy multiattribute decision- Making (MADM) and fuzzy multiobjective decision- making (MODM).
Journal ArticleDOI
Fermatean fuzzy sets
Tapan Senapati,Ronald R. Yager +1 more
TL;DR: A Fermatean fuzzy TOPSIS method is established to fix multiple criteria decision-making problem and an interpretative example is stated in details to justify the elaborated method and to illustrate its viability and usefulness.
References
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Book
Fuzzy sets
TL;DR: A separation theorem for convex fuzzy sets is proved without requiring that the fuzzy sets be disjoint.
Journal ArticleDOI
Intuitionistic fuzzy sets
TL;DR: Various properties are proved, which are connected to the operations and relations over sets, and with modal and topological operators, defined over the set of IFS's.
Book
Multiple Attribute Decision Making: Methods and Applications
TL;DR: In this paper, the authors present a classification of MADM methods by data type and propose a ranking method based on the degree of similarity of the MADM method to the original MADM algorithm.
Journal ArticleDOI
Compromise solution by MCDM methods: A comparative analysis of VIKOR and TOPSIS
TL;DR: A comparative analysis of the multiple criteria decision making methods VIKOR and TOPSIS is illustrated with a numerical example, showing their similarity and some differences.