A new characterization of fuzzy n-ary polygroups

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KAZANCI O., Davvaz B., YAMAK S.

NEURAL COMPUTING & APPLICATIONS, vol.21, 2012 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 21
• Publication Date: 2012
• Doi Number: 10.1007/s00521-011-0592-8
• Journal Name: NEURAL COMPUTING & APPLICATIONS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Karadeniz Technical University Affiliated: Yes

Abstract

In this paper, we introduce the notion of (is an element of, is an element of boolean OR q(k))-fuzzy n-ary subpolygroup and ((is an element of) over bar, (is an element of) over bar (q(k)) over bar)-fuzzy n-ary subpolygroup, which are generalization of (is an element of, is an element of boolean OR q)-fuzzy n-ary subpolygroup and ((is an element of) over bar, (is an element of) over bar (q(k)) over bar)-fuzzy n-ary subpolygroup of an n-ary polygroup. In particular, the notions of (is an element of, is an element of boolean OR q(k))-fuzzy-fuzzy cosets determined by (is an element of, is an element of boolean OR q(k))-fuzzy-fuzzy n-ary subplygroups are discussed.