Journal ArticleDOI
A decision-theoretic fuzzy rough set in hesitant fuzzy information systems and its application in multi-attribute decision-making
Haibo Jiang,Bao Qing Hu +1 more
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TLDR
A decision-theoretic fuzzy rough set (DTFRS) model is proposed in hesitant fuzzy information systems and its application in multi-attribute decision-making (MADM) and a three-way decision method is established to handle MADM problems in the context of a hesitant fuzzy environment.About:
This article is published in Information Sciences.The article was published on 2021-11-01. It has received 40 citations till now. The article focuses on the topics: Fuzzy set & Fuzzy logic.read more
Citations
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Journal ArticleDOI
Three-Way Behavioral Decision Making With Hesitant Fuzzy Information Systems: Survey and Challenges
TL;DR: A review and analysis of three-way behavioral decision making with hesitant fuzzy information systems (HFIS) from the perspective of the past, present, and future can be found in this article .
Journal ArticleDOI
Regret Theory-Based Three-Way Decision Model in Hesitant Fuzzy Environments and Its Application to Medical Decision
TL;DR: In this paper , a regret-theory-based three-way decision model in hesitant fuzzy environments, which mainly combines regret theory with hesitant fuzzy sets to calculate the perceived utility value of objects, is proposed.
Journal ArticleDOI
Regret Theory-Based Three-Way Decision Model in Hesitant Fuzzy Environments and Its Application to Medical Decision
TL;DR: In this article , a regret-theory-based three-way decision model in hesitant fuzzy environments, which mainly combines regret theory with hesitant fuzzy sets to calculate the perceived utility value of objects, is proposed.
Peer ReviewDOI
Three-Way Behavioral Decision Making With Hesitant Fuzzy Information Systems: Survey and Challenges
TL;DR: A review and analysis of three-way behavioral decision making with hesitant fuzzy information systems (HFIS) from the perspective of the past, present, and future can be found in this paper .
Journal ArticleDOI
A three-way decision method with prospect theory to multi-attribute decision-making and its applications under hesitant fuzzy environments
TL;DR: Wang et al. as discussed by the authors proposed a model with ranking and classification functions to reasonably solve hesitant fuzzy multi-attribute decision-making problems, preferably aiming at the following situations: (1) decision-makers are not risk-averse in all situations; (2) decision results with acceptance, rejection or deferment are more important than merely ranking when there are many objects involved.
References
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Journal ArticleDOI
Hesitant fuzzy sets
TL;DR: It is proved that the envelope of the hesitant fuzzy sets is an intuitionistic fuzzy set, and it is proved also that the operations proposed are consistent with the ones of intuitionist fuzzy sets when applied to the envelope.
Journal ArticleDOI
Hesitant fuzzy information aggregation in decision making
Meimei Xia,Zeshui Xu +1 more
TL;DR: The relationship between intutionistic fuzzy set and hesitant fuzzy set is discussed, based on which some operations and aggregation operators for hesitant fuzzy elements are developed and their application in solving decision making problems is given.
Journal ArticleDOI
Three-way decisions with probabilistic rough sets
TL;DR: This paper provides an analysis of three-way decision rules in the classical rough set model and the decision-theoretic rough set models, enriched by ideas from Bayesian decision theory and hypothesis testing in statistics.
Journal ArticleDOI
Distance and similarity measures for hesitant fuzzy sets
Zeshui Xu,Meimei Xia +1 more
TL;DR: A variety of distance measures for hesitant fuzzy sets are proposed, based on which the corresponding similarity measures can be obtained and can alleviate the influence of unduly large deviations on the aggregation results by assigning them low (or high) weights.
Journal ArticleDOI
MGRS: A multi-granulation rough set
TL;DR: It is shown that some of the properties of Pawlak's rough set theory are special instances of those of MGRS, and several important measures are presented, which are re-interpreted in terms of a classic measure based on sets, the Marczewski-Steinhaus metric and the inclusion degree measure.
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