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Paper Information

Journal:   IRANIAN JOURNAL OF FUZZY SYSTEMS   FEBRUARY 2011 , Volume 8 , Number 1; Page(s) 65 To 76.
 
Paper: 

ON N-ARY HYPERGROUPS AND FUZZY N-ARY HOMOMORPHISM

 
 
Author(s):  KAZANCI O.*, YAMAK S., DAVVAZ B.
 
* DEPARTMENT OF MATHEMATICS, KARADENIZ TECHNICAL UNIVERSITY, 61080, TRABZON, TURKEY
 
Abstract: 

The aim of this paper is to introduce the notion of fuzzy homomorphism and fuzzy isomorphism between two n-ary hypergroups and to extend the fuzzy results of fundamental equivalence relations to n-ary hypergroups. We study some of their properties and prove the decomposition theorems for fuzzy homomorphism and fuzzy isomorphism.

 
Keyword(s): HYPERGROUP, N-ARY HYPERGROUP, FUZZY SET, N-ARY SUB-HYPERGROUP, FUZZY N-ARY SUB-HYPERGROUP N-ARY HOMOMORPHISM
 
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