Interval-Valued Proportional Intuitionistic Fuzzy Sets and Their Aggregation Operators

Kahraman C., Onar S. C., Öztayşi B., ÇEBİ S.

7th International Conference on Intelligent and Fuzzy Systems, INFUS 2025, İstanbul, Turkey, 29 - 31 July 2025, vol.1528 LNNS, pp.341-346, (Full Text) identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1528 LNNS
  • Doi Number: 10.1007/978-3-031-97985-9_38
  • City: İstanbul
  • Country: Turkey
  • Page Numbers: pp.341-346
  • Keywords: Aggregation operators, Interval-valued sets, Proportional intuitionistic fuzzy sets
  • Yıldız Technical University Affiliated: Yes

Abstract

Proportional fuzzy sets ease the determination of membership, non-membership and hesitancy degrees of the elements in a fuzzy set. In the literature, intuitionistic fuzzy sets, Pythagorean fuzzy sets, picture fuzzy sets and spherical fuzzy sets have been already extended to their proportional equivalents. In this paper, the interval-valued proportional fuzzy set extensions will be developed. In this paper, their arithmetic operations and aggregation operators are defined and a decision making application is presented.