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The basic concept of bipolar fuzzy set (BFS) was introduced by Zhang (Proceedings of the First International Joint Conference of the North American Fuzzy Information Processing Society Biannual Conference. The Industrial Fuzzy Control and Intelligent. IEEE, pp. 305–309 [1]) for the first time. It is an extension of classical fuzzy sets where instead of one membership function, two membership functions are used. In a bipolar fuzzy set, there are two membership functions to represent positive and negative aspects of a fuzzy set separately. This property can help to reflect the nature and concept of a fuzzy set more efficiently.

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Bipolar Fuzzy Sets

  • 章节

  • 发表日期：

    2026年

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  • Ali Mahmoodirad,
  • Harish Garg,
  • Sadegh Niroomand

摘要

The basic concept of bipolar fuzzy set (BFS) was introduced by Zhang (Proceedings of the First International Joint Conference of the North American Fuzzy Information Processing Society Biannual Conference. The Industrial Fuzzy Control and Intelligent. IEEE, pp. 305–309 [1]) for the first time. It is an extension of classical fuzzy sets where instead of one membership function, two membership functions are used. In a bipolar fuzzy set, there are two membership functions to represent positive and negative aspects of a fuzzy set separately. This property can help to reflect the nature and concept of a fuzzy set more efficiently.