Characterize the Intra-regular and the Regular Ordered Semi-groups in Terms of Fuzzy Sets
Journal Title: International Journal of Engineering Sciences & Research Technology - Year 30, Vol 1, Issue 10
Abstract
In mathematics, fuzzy sets are sets whose elements have degrees of membership. Fuzzy sets were introduced by Lotfi A. Zadeh and Dieter Klaua in 1965 as an extension of the classical notion of set. At the same time, Salii (1965) defined a more general kind of structures called L-relations, which he studied in an abstract algebraic context. In this paper we characterize the intra-regular, the left (right) regular and the completely regular ordered semi-groups in terms of fuzzy sets.
Authors and Affiliations
C. S. Chauhan
Keywords
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