Fuzzy Translations of A Fuzzy Set in UP-Algebras | Zendy

Aiyared Iampan | Zendy

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Fuzzy Translations of A Fuzzy Set in UP-Algebras

Author(s) -

Aiyared Iampan

Publication year - 2017

Publication title -

journal of the indonesian mathematical society

Language(s) - English

Resource type - Journals

eISSN - 2460-0245

pISSN - 2086-8952

DOI - 10.22342/jims.23.2.371.1-19

Subject(s) - mathematics , fuzzy subalgebra , fuzzy logic , prime (order theory) , algebra over a field , fuzzy set , fuzzy number , type (biology) , fuzzy classification , fuzzy mathematics , type 2 fuzzy sets and systems , set (abstract data type) , pure mathematics , discrete mathematics , combinatorics , artificial intelligence , computer science , ecology , biology , programming language

In this paper, we apply the concept of fuzzy translations of a fuzzy set to UP-algebras.For any fuzzy set $\mu$ in a UP-algebra,the concepts of fuzzy $\alpha$-translations of $\mu$ of type \textrm{I} and of fuzzy $\beta$-translations of $\mu$ of type \textrm{II} are introduced, their basic properties are investigated and some useful examples are discussed.The concepts of prime fuzzy sets and of weakly prime fuzzy sets in UP-algebras are also studied.Moreover, we discuss the concepts of extensions and of intensions of a fuzzy set in UP-algebras.

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