A New Type Fuzzy Module over Fuzzy Rings

A New Type Fuzzy Module over Fuzzy Rings

A new kind of fuzzy module over a fuzzy ring is introduced by generalizing Yuan and Lee’s definition of the fuzzy group and Aktaş and Çağman’s definition of fuzzy ring. The concepts of fuzzy submodule, and fuzzy module homomorphism are studied and some of their basic properties are presented analogo...

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Veröffentlicht in:TheScientificWorld 2014-01, Vol.2014 (2014), p.1-7
Hauptverfasser: Yetkin, Ece, Olgun, Necati
Format: Artikel
Sprache:eng
Schlagworte:
Fuzzy algorithms
Fuzzy Logic
Fuzzy systems
Mathematical research
Models, Theoretical
Rings (Algebra)
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Zusammenfassung:A new kind of fuzzy module over a fuzzy ring is introduced by generalizing Yuan and Lee’s definition of the fuzzy group and Aktaş and Çağman’s definition of fuzzy ring. The concepts of fuzzy submodule, and fuzzy module homomorphism are studied and some of their basic properties are presented analogous of ordinary module theory.
ISSN:2356-6140
1537-744X
1537-744X
DOI:10.1155/2014/730932