Osman Kazanci

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he fuzzy set introduced by L.A.Zadeh [16] in 1965 and the rough set introduced by Pawlak [12] in 1982 are generalizations of the classical set theory. Both these set theories are new mathematical tool to deal the uncertain, vague, imprecise and inexact data. In Zadeh fuzzy set theory, the degree of membership of elements of a set plays the key role, whereas(More)
Constructions and characterizations of triangular norms(t-norms) have been discussed in many different contexts. In this paper, we present two methods to construct t-norms on lattices from given partial information. Since the idea is to follow from part-to-whole, we especially consider the lattices with ∨ -decompositions. Firstly, we investigate the(More)
In this paper, we introduce and study a new sort of fuzzy n-ary sub-hypergroups of an n-ary hypergroup, called $$(\in,\in \vee q)$$ -fuzzy n-ary sub-hypergroup. By using this new idea, we consider the $$(\in,\in\vee q)$$ -fuzzy n-ary sub-hypergroup of a n-ary hypergroup. This newly defined $$(\in,\in \vee q)$$ -fuzzy n-ary sub-hypergroup is a generalization(More)