Work

Inclusion measure for intuitionistic fuzzy sets and embedding of intervals

Year: 2024

Type: article

Abstract: Comparison of measuring the degree of inclusion for two intuitionistic fuzzy sets (IF-sets) and measuring the degree of embedding of two intervals is considered. Embedding is understood as the classical inclusion of intervals. Inclusion of IF-sets is based on a specific order. In case that the nonmebership function does not exceed the membership function in an IF set, and we replace formally the IF-set by an interval-valued fuzzy set, then the inclusion of IF-sets corresponds to an embedding of interval-valued sets. The embedding measure for interval-valued fuzzy sets was defined previously and we compare the concept of embedding with the inclusion of IF-sets.

Source: Notes on Intuitionistic Fuzzy Sets

DOI: 10.7546/nifs.2024.30.4.323-332

Authors: Michaela Bruteničová, Vladimír Janiš

Institution: Matej Bel University

Language: English

Topic: Fuzzy and Soft Set Theory

Subfield: Management Science and Operations Research

Field: Decision Sciences

Domain: Social Sciences

Open Access status: diamond

Funder: Vedecká Grantová Agentúra MŠVVaŠ SR a SAV

Award: Slovensko v kontexte dôchodkového indexu a indexu starnutia populácie - perspektíva budúcnosti