Completely Semiprime Fuzzy Ideal And Fuzzy Filters Of PO Semigroup
Journal Title: International Journal of Engineering and Science Invention - Year 2018, Vol 7, Issue 9
Abstract
In this paper we define completely semi prime fuzzy ideal, fuzzy d-system and semiprime fuzzy ideal of a po semigroup next prove that every completely prime fuzzy ideal of a po semigroup S is a completely semiprime fuzzy ideal of S and then establish the relation between completely semiprime fuzzy and fuzzy dsystem. Next define the fuzzy n-system and prove the relation between fuzzy m-system and fuzzy n-system and also prove the relation between semiprime fuzzy ideal. In the next section, fuzzy left(right) filter, fuzzy filter of PO semigroup are defined. Next prove that f is fuzzy left(right) filter of S iff 𝑓′ is completely prime fuzzy right(left) ideal of S, relation between fuzzy filter and prime fuzzy ideal of S. Also define fuzzy filter of S generated by generated by f and prove tht fuzzy filter of S generated by f is the intersection of all fuzzy filters of S containing f.
Authors and Affiliations
Ramya Latha P, A. Gangadhara Rao, J. M. Pradeep, P Mary Padmalatha
Keywords
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