T-Normed Fuzzy TM-Subalgebra of TM-Algebras

Abstract

KeywordsTM-algebra Fuzzy TM-subalgebra T-normed fuzzy TM-subalgebra Idempotent T-normed fuzzy set T-direct product T-product A B S T R A C TThe concept of T-normed fuzzy TM-subalgebras is introduced by applying the notion of t-norm to fuzzy TM-algebra and its properties are investigated. The ideas based on minimum t-norm are generalized to all widely accepted t-norms in a fuzzy TMsubalgebra.The characteristics of an idempotent T-normed fuzzy TM-subalgebra are studied. The properties of image and the inverse image of a T-normed fuzzy TM-subalgebra under homomorphism is discussed. The T-direct product and T-product of T-normed fuzzy TM-subalgebras are also considered.