articleAug 1, 2009Closed access

On hesitant fuzzy sets and decision

VTVicenç TorraYNYasuo Narukawa

Consejo Superior de Investigaciones Científicas · Artificial Intelligence Research Institute · +2 more institutions

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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…

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Topics & keywords

Topics
Keywords
  • Fuzzy set operations
  • Type-2 fuzzy sets and systems
  • Fuzzy set
  • Generalization
  • Fuzzy classification
  • Defuzzification
  • Fuzzy number
  • Extension (predicate logic)
UN Sustainable Development Goals
  • Peace, Justice and strong institutions
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