Journal of the Korean Institute of Intelligent Systems (한국지능시스템학회논문지)

Korean Institute of Intelligent Systems (한국지능시스템학회)
권호 표지
DOI QR코드

DOI QR Code

Comparison of Interval-valued fuzzy sets, Intuitionistic fuzzy sets, and bipolar-valued fuzzy sets

구간값 퍼지집합, Intuitionistic 퍼지집합, Bipolar-valued 퍼지집합의 비교

  • 이건명 (충북대학교 전기전자컴퓨터공학부, 컴퓨터정보통신연구소, 첨단정보기술연구센터)
  • Published : 2004.04.01
Download PDF
⟨ Previous Next ⟩

Abstract

There are several kinds of fuzzy set extensions in the fuzzy set theory. Among them, this paper is concerned with interval-valued fuzzy sets, intuitionistic fuzzy sets, and bipolar-valued fuzzy sets. In interval-valued fuzzy sets, membership degrees are represented by an interval value that reflects the uncertainty in assigning membership degrees. In intuitionistic fuzzy sets, membership degrees are described with a pair of a membership degree and a nonmembership degree. In bipolar-valued fuzzy sets, membership degrees are specified by the satisfaction degrees to a constraint and its counter-constraint. This paper investigates the similarities and differences among these fuzzy set representations.

Keywords

References

  1. H.-J. Zimmermann, Fuzzy Set Theory and Its Application, Kluwer-Nijhoff Publishing, 1985.
  2. K. T. Atanassov, Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems, Vol.20, pp.87-96, 1986.
  3. T. Ciftcibasi, D. Altunay, Two-Side (Intuitionistic) Fuzzy Reasoning, IEEE Trans. on System, Man, and Cybernetics -Part A. Vol.28, No.5. pp.662-677, 1998. https://doi.org/10.1109/3468.709613
  4. K. - M. Lee, Bipolar-valued fuzzy sets and their operations, Prof. of Int. Conf. on Intelligent Technologies, Bangkok, Thailand, pp.307-312, 2000
  5. H. Bustince, Construction of intuitionistic fuzzy relations with predetermined properties, Fuzzy Sets and Systems, Vol.109, pp.379-403, 2000. https://doi.org/10.1016/S0165-0114(97)00381-3

Cited by

  1. Possibility Intuitionistic Fuzzy Soft Expert Set Theory and Its Application in Decision Making vol.2015, pp.1687-0425, 2015, https://doi.org/10.1155/2015/314285