FUZZY EQUATIONAL CLASSES ARE FUZZY VARIETIES

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BUDIMIROVIC BRANKA; BUDIMIROVIC VJEKOSLAV; SESELJA BRANIMIR; TEPAVCEVIC ANDREJA

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Journal: Iranian Journal of Fuzzy Systems Year:2013 | Volume:10 | Issue:4 Page(s): 1-18

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Title

FUZZY EQUATIONAL CLASSES ARE FUZZY VARIETIES

Author(s)

BUDIMIROVIC BRANKA | BUDIMIROVIC VJEKOSLAV | SESELJA BRANIMIR | TEPAVCEVIC ANDREJA | Issue Writer Certificate

Keywords

FUZZY ALGEBRAQ2

FUZZY IDENTITYQ2

FUZZY EQUALITYQ2

FUZZY HOMOMORPHISMQ2

FUZZY DIRECT PRODUCTQ2

FUZZY EQUATIONAL CLASSQ2

FUZZY VARIETYQ2

Abstract

In the framework of FUZZY ALGEBRAs with fuzzy equalities and a complete lattice as a structure of membership values, we investigate FUZZY EQUATIONAL CLASSes. They consist of special FUZZY ALGEBRAs fullling the same fuzzy identities, dened with respect to fuzzy equalities. We introduce basic notions and the corresponding operators of universal algebra: construction of fuzzy subalgebras, homomorphisms and direct products. We prove that every FUZZY EQUATIONAL CLASS is closed under these three operators, which means that such a class is a FUZZY VARIETY.

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APA: Copy

BUDIMIROVIC, BRANKA, BUDIMIROVIC, VJEKOSLAV, SESELJA, BRANIMIR, & TEPAVCEVIC, ANDREJA. (2013). FUZZY EQUATIONAL CLASSES ARE FUZZY VARIETIES. IRANIAN JOURNAL OF FUZZY SYSTEMS, 10(4), 1-18. SID. https://sid.ir/paper/113282/en

Vancouver: Copy

BUDIMIROVIC BRANKA, BUDIMIROVIC VJEKOSLAV, SESELJA BRANIMIR, TEPAVCEVIC ANDREJA. FUZZY EQUATIONAL CLASSES ARE FUZZY VARIETIES. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2013;10(4):1-18. Available from: https://sid.ir/paper/113282/en

IEEE: Copy

BRANKA BUDIMIROVIC, VJEKOSLAV BUDIMIROVIC, BRANIMIR SESELJA, and ANDREJA TEPAVCEVIC, “FUZZY EQUATIONAL CLASSES ARE FUZZY VARIETIES,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 10, no. 4, pp. 1–18, 2013, [Online]. Available: https://sid.ir/paper/113282/en

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