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
A Hybrid Model of Hesitant Fuzzy Decision-Making Analysis for Estimating Usable-Security of Software
Rajeev Kumar,Abdullah Baz,Hosam Alhakami,Wajdi Alhakami,Mohammed Baz,Alka Agrawal,Raees Ahmad Khan +6 more
TL;DR: The present research study suggests a novel technique which is the hybrid of Analytic Hierarchy Process, Hesitant Fuzzy, and Technique for Order of Preference by Similarity to Ideal Solution to significantly assess the usability along with security to estimate the usable-security of software.
Priority degrees for hesitant fuzzy sets: Application to multiple attribute decision making
TL;DR: A priority degree formula for comparing two hesitant fuzzy sets is presented and the desirable priority degree properties studied and a new hesitant fuzzy multiple attribute decision making methodology is proposed.
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•Posted Content
New Operations on Interval Neutrosophic Sets
TL;DR: In this paper, the arithmetic mean, geometrical mean, and harmonic mean are defined on interval neutrosophic sets, which can be used in real scientific and engineering applications.
Multi-Criteria Group Decision-Making Using an m-Polar Hesitant Fuzzy TOPSIS Approach
TL;DR: This article introduces an innovative hybrid model, called m-polar hesitant fuzzy sets (mHF-sets), a hybridization of hesitancy and mF sets, which enables us to tackle multi- polar information with Hesitancy.
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A novel hesitant-fuzzy-based group decision approach for outsourcing risk
TL;DR: It is found that risk evaluation of outsourcing providers must consider four key-factors: multi-experts, multi-criteria,Multi-uncertainties and measurability.
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