Authors:
M. Suresh Babu,E. Keshava Reddy,DOI NO:
https://doi.org/10.26782/jmcms.2019.08.00011Keywords:
Ƒ* - pure semi groups,Sequences,Group fuzzy congruence’s,Lattice Groups and fuzzy sub groups,Abstract
Introducing the idea of Ƒ* - pure semi group and shows that a semi group ‘S ‘is regular and Ƒ* - pure iff ' S ′ is a semi lattice of groups. Also shows with the purpose of a semi group' S ′ be Ƒ* - pure iff S3 is a semi lattice of groups. Additionally, learning the group congruence’s as well as semi lattice congruence’s on such a semi group and give a number of properties of fuzzy congruence’s on Ƒ* - pure semi groups. A nonempty set X, a fuzzy subset of X is, by definition, an arbitrary mapping A: X → [0,1], where [0,1] is the usual interval of real numbers. The important concept of fuzzy automata set position onwards by Zadeh [I]. Has opened up keen insights and applications in a wide range of scientific fields. It offers tools and a new approach to model imprecision and uncertainty present in phenomena that do not have sharp boundaries. Since then, a series of research on fuzzy automata sets has come out expounding the importance of the concept and its applications to logic, set theory, algebra theory, real analysis, topology, etc. [III]. Fleck A. C. used the notion of a fuzzy subsets of a set to introduce the notion of fuzzy group of a group, Rosenfeld’s paper motivated the development of fuzzy algebras [X]. Following the formulation of fuzzy subgroups by Rosenfeld, Dib introduced the concept of a fuzzy automata space as a replacement for the concept of universal set in the ordinary case. Recently, some basic concepts of fuzzy algebras such as fuzzy homomorphism’s were introduced and discussed by using the new approach of fuzzy space and fuzzy automata groups introduced. In this paper we introduce concepts of fuzzy automata inverse semi groups and redefine fuzzy automata inverse sub-semi groups using the concept of fuzzy spaces introduced by K. A. Dib [II].Refference:
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