Proceedings Article10.1109/FUZZY.2009.5276884
On hesitant fuzzy sets and decision
Vicenç Torra,Yasuo Narukawa +1 more
- 02 Oct 2009
- pp 1378-1382
1.1K
TL;DR: The hesitant fuzzy sets as mentioned in this paper are a generalization of fuzzy sets where the membership is an interval, instead of being a single value, and they have been used in decision making.
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Abstract: Intuitionistic Fuzzy Sets (IFS) are a generalization of fuzzy sets where the membership is an interval. That is, membership, instead of being a single value, is an interval. A large number of operations have been defined for this type of fuzzy sets, and several applications have been developed in the last years. In this paper we describe hesitant fuzzy sets. They are another generalization of fuzzy sets. Although similar in intention to IFS, some basic differences on their interpretation and on their operators exist. In this paper we review their definition, the main results and we present an extension principle, which permits to generalize existing operations on fuzzy sets to this new type of fuzzy sets. We also discuss their use in decision making.
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Citations
On Hesitant Fuzzy Reducible Weighted Bonferroni Mean and Its Generalized Form for Multicriteria Aggregation
TL;DR: This paper proposes the hesitant fuzzy reducible weighted Bonferroni mean (HFRWBM) and presents its four prominent characteristics, namely, reductibility, monotonicity, boundedness, and idempotency, and applies the proposed aggregation operators to multicriteria aggregation.
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Hesitant-fuzzy-promethee method
Sonia Hajlaoui,Nesrin Halouani +1 more
- 28 Apr 2013
TL;DR: A new type of fuzzy preference structure, called hesitant linguistic preference relations, is introduced to describe uncertain evaluation information in group decision making (GDM) processes to allow decision makers to offer all possible linguistic terms that are not accounted for in current preference structure types when one compares two alternatives.
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Extended hesitant fuzzy SWARA techniques to examine the criteria weights and VIKOR method for ranking alternatives
Selvaraj Geetha,Samayan Narayanamoorthy,Daekook Kang +2 more
- 05 Oct 2020
TL;DR: In this article, the authors extend the SWARA method with hesitant fuzzy (HF) set for calculating the weights of the criteria and ranking the alternatives by using VIKOR method, and proposed HF-SWARA I and HF-SWA II methods are demonstrated through numerical examples.
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An outranking method for multicriteria decision making with probabilistic hesitant information
Jian Li,Qiongxia Chen +1 more
TL;DR: In this study, an outranking method for multicriteria decision making (MCDM) with probabilistic hesitant information is presented and a maximizing Hausdorff distance deviation method is developed to obtain the evaluation criteria weights under a probabilist hesitant fuzzy environment.
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Operations on hesitant fuzzy sets: Some new results
TL;DR: A number of properties in the light of operations defined by Torra and Xia and Xu on hesitant fuzzy sets are presented.
12
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