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A study of PO-$\Gamma$-semigroups in terms of anti fuzzy ideals
T. Nagaiah,K. Vijay Kumar,P. Narasimha Swamy,T. Srinivas 원광대학교 기초자연과학연구소 2017 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.14 No.3
The notions of anti fuzzy ideals, bi-ideals and interior ideals of Partially Ordered $\Gamma$-Semigroups(PO$\Gamma$S) have been proposed in this paper. We characterize some properties of PO$\Gamma$S in terms of anti fuzzy ideals (AFI). We obtain equivalent statements on composition of AFI using the characteristic function and anti fuzzy bi-ideal(AFBI). Also we study the relationship between anti fuzzy product and union of AFI in a PO$\Gamma$S. Finally, we deliberate the necessary and sufficient condition of PO-$\Gamma$-semigroups.