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Journal:   IRANIAN JOURNAL OF FUZZY SYSTEMS   April 2006 , Volume 3 , Number 1; Page(s) 59 To 75.
 
Paper: 

Generalized Fuzzy Polygroups

 
 
Author(s):  Davaz B.*, Corsini P.
 
* Department of Mathematics, Yazd university, Yazd, Iran
 
Abstract: 
Small Polygroups are multi-valued systems that satisfy group like axioms. Using the notion of “belonging (Є)” and “quasi-coincidence (q)” of fuzzy points with fuzzy sets, the concept of (Є, Є Vq)-fuzzy subpolygroup is introduced. The study of (Є, Є Vq)-fuzzy normal subpolygroups of a polygroup are dealt with. Characterization and some of the fundamental properties of such fuzzy subpolygroups are obtained. (Є, Є Vq)-fuzzy cosets determined by (Є, Є Vq)-fuzzy subpolygroups are discussed. Finally, we give the definition of a fuzzy subpolygroup with thresholds which is a generalization of an ordinary fuzzy subpolygroup and an (Є, Є, Vq)-fuzzy subpolygroup and discus relations between two fuzzy subpolygroups.
 
Keyword(s): POLYGROUP FUZZY SET, (Є,Є VQ)-FUZZY SUBPOLYGROUP, FUZZY LOGIC, IMPLICATION OPERATOR
 
 
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APA: Copy

DAVAZ, B., & CORSINI, P. (2006). GENERALIZED FUZZY POLYGROUPS. IRANIAN JOURNAL OF FUZZY SYSTEMS, 3(1), 59-75. https://www.sid.ir/en/journal/ViewPaper.aspx?id=43797



Vancouver: Copy

DAVAZ B., CORSINI P.. GENERALIZED FUZZY POLYGROUPS. IRANIAN JOURNAL OF FUZZY SYSTEMS. 2006 [cited 2022May22];3(1):59-75. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=43797



IEEE: Copy

DAVAZ, B., CORSINI, P., 2006. GENERALIZED FUZZY POLYGROUPS. IRANIAN JOURNAL OF FUZZY SYSTEMS, [online] 3(1), pp.59-75. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=43797.



 
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