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In crisp environment the notions of order of group and cyclic group are well known due to many applications. In this paper, we introduce order of the soft groups, power of the soft sets, power of the soft groups, and cyclic soft group on a group. We also investigate the relationship between cyclic soft groups and classical groups.
The notions of a S-fuzzy ∧-sub semi lattice, a S-fuzzy ideal and a S-fuzzy prime ideal of a bounded lattice with truth values in a bounded ∧-sub semi lattice S are introduced which generalize the existing notions with truth values in a unit interval of real numbers. Finally, S-fuzzy prime ideal theorem is proved.
Anahtar Kelimeler: Soft kümeler, Soft gruplar, grup soft dönüşümler ÖZET Bu çalışmada grup soft dönüşümlerin tanımını verdik ve onların bazı cebirsel özelliklerini ve cebirsel yapılar üzerinde uygulamalarını çaıştık. Ayrıca grup soft dönüşümler altında grupların ve soft grupların görüntülerini verdik. ABSTRACT In this paper we give a denition of group soft… (More)
The purpose of this paper is to give some properties of the isomorphic fuzzy subgroups.
The present paper concerns with the characteristic semi-group of input independent and state independent fuzzy automaton. Apart from the relationship between input independent and state independent fuzzy automaton, various properties of characteristic semigroups of state independent fuzzy automaton are established. Also, quasi-perfect fuzzy automaton and… (More)