New Composition of Intuitionistic Fuzzy Relations
Fuzzy relations have applications in fields such as psychology, medicine, economics, and sociology. Burillo and Bustince introduced the concepts of intuitionistic fuzzy relation and a composition of intuitionistic fuzzy relations using four triangular norms or conorms α, β, λ, ρ (we abbreviate to α, β, λ, ρ-composition). In this paper, we define a new composition of intuitionistic fuzzy relations using two intuitionistic fuzzy triangular norms or intuitionistic fuzzy triangular conorms (Φ, Ψ-composition for short). It is shown that α, β, λ, ρ-composition is special case of Φ, Ψ-composition. Many properties of Φ, Ψ-composition are stated and proved.
Keywordsintuitionistic fuzzy relation composition of intuitionistic fuzzy relations intuitionistic triangular norm t- representability medical diagnosis
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