m-Polar Fuzzy Sets: An Extension of Bipolar Fuzzy Sets

By Juanjuan Chen, Shenggang Li, Sheng-quan Ma, Xue-ping Wang. TheScientificWorldJournal, 2014

325 citations recorded by the source corpus.

Recently, bipolar fuzzy sets have been studied and applied a bit enthusiastically and a bit increasingly. In this paper we prove that bipolar fuzzy sets and [0,1]2-sets (which have been deeply studied) are actually cryptomorphic mathematical notions. Since researches or modelings on real world problems often involve multi-agent, multi-attribute, multi-object, multi-index, multi-polar information, uncertainty, or/and limit process, we put forward (or highlight) the notion of m-polar fuzzy set (actually, [0,1]m-set which can be seen as a generalization of bipolar fuzzy set, where m is an arbitrary ordinal number) and illustrate how many concepts have been defined based on bipolar fuzzy sets and many results which are related to these concepts can be generalized to the case of m-polar fuzzy sets. We also give examples to show how to apply m-polar fuzzy sets in real world problems.

Subfields: Artificial Intelligence, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/d4344b01b9478f22816ce4d59a0672e5b92700d1

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In Artificial Intelligence

  1. Arooj Adeel
  2. Muhammad Saeed Akram

In Management Science and Operations Research

  1. Arooj Adeel
  2. Muhammad Saeed Akram

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