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TH-Interval-Valued Fuzzy Ideal

Wenyi Zeng, Qilei Feng, Hongxing Li, Xuanchuan Yu

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Abstract

In this paper, we introduce concepts of TH-interval- valued fuzzy left ideal, Th-interval-valued fuzzy right ideal, TH-interval-valued fuzzy ideal and extension principle of interval-valued fuzzy set, investigate some of their properties and structural characteristics and propose some theorems for homomorphic image and its inverse image on TH-interval-valued fuzzy ideal.

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What this paper is about

In this paper, we introduce concepts of TH-interval- valued fuzzy left ideal, Th-interval-valued fuzzy right ideal, TH-interval-valued fuzzy ideal and extension principle of interval-valued fuzzy set, investigate some of their properties and structural characteristics and propose some theorems for homomorphic image and its inverse image on TH-interval-valued fuzzy ideal.

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Available abstract

In this paper, we introduce concepts of TH-interval- valued fuzzy left ideal, Th-interval-valued fuzzy right ideal, TH-interval-valued fuzzy ideal and extension principle of interval-valued fuzzy set, investigate some of their properties and structural characteristics and propose some theorems for homomorphic image and its inverse image on TH-interval-valued fuzzy ideal.

Key concepts: Ideal (ethics), Interval (graph theory), Fuzzy logic, Extension (predicate logic), Fuzzy set, Inverse, Mathematics, Discrete mathematics

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