COMPUTATIONAL APPLICATIONS OF ζ, T_n&T_S FUZZY AUTOMATION SEMI GROUPS

Abstract

The present research paper we look into the transformation groups  To developed the representation of fuzzy semi-groups and isomorphic fuzzy semi-group with permutations. Also fuzzy semi-groups are developed with the identities Cayley table of regular representation of .We solve the propositions of fuzzy-semi-groups. In addition, to extension of the concept of monogenic Fuzzy-semi-groups and, explore some fuzzy sub-semi-group propositions. This study investigates the transformation groups for n≥3, with particular emphasis on the construction and analysis of fuzzy semi-groups and their isomorphic counterparts through permutations. The Cayley tables related to the ordinary representation of symmetric groups (S) are examined in request to extend the notion of fuzzy semi-groups. Fuzzy semi-bunch propositions are also presented and solved in the paper, with a focus on monogenic fuzzy semi-groups. Additionally, in request to advance our knowledge of fuzzy algebraic structures, we examine the characteristics and propositions of fuzzy sub-semi-groups.