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.

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Interval-Valued Proportional Intuitionistic Fuzzy Sets and Their Aggregation Operators

  • Cengiz Kahraman,
  • Sezi Cevik Onar,
  • Basar Oztaysi,
  • Selcuk Cebi

摘要

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.