Abstract
The concept of intuitionistic fuzzy Lie algebra over a fuzzy field is introduced. We study the “necessity” and “possibility” operators on intuitionistic fuzzy Lie algebra over a fuzzy field and give some properties of homomorphic images.
Highlights
The fuzzy algebraic structure plays a prominent role in mathematics
Atanassov [2] introduced the notion of intuitionistic fuzzy sets as generalization of fuzzy sets
We introduce the notion of intuitionistic fuzzy Lie algebras over a fuzzy field and give some results on it
Summary
The fuzzy algebraic structure plays a prominent role in mathematics. It has got wide applications in many other branches of science. After the introduction of fuzzy sets by Zadeh [6], several scholars studied fuzzy substructures of many algebraic structures. Nanda [5] introduced fuzzy fields and fuzzy algebra over a fuzzy field. In [1], we introduced fuzzy Lie algebra over a fuzzy field. In another direction, Atanassov [2] introduced the notion of intuitionistic fuzzy sets as generalization of fuzzy sets. We introduce the notion of intuitionistic fuzzy Lie algebras over a fuzzy field and give some results on it
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