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Information Journal Paper

Title

T-FUZZY CONGRUENCES AND T-FUZZY FILTERS OF A BL-ALGEBRA

Pages

  37-47

Abstract

 In this note, we introduce the concept of a fuzzy filter of a BL- algebra, with respect to a t-norm briefly, T-FUZZY FILTERs, and give some related results. In particular, we prove Representation Theorem in BL-algebras. Then we generalize the notion of a fuzzy congruence (in a BL-algebra) was defined by Lianzhen et al. to a new fuzzy congruence, specially with respect to a t- norm. We prove that there is a correspondence bijection between the set of all T-FUZZY FILTERs of a BL-algebra and the set of all T-FUZZY CONGRUENCEs in that BL-algebra. Next, we show how T-FUZZY FILTERs induce T-FUZZY CONGRUENCEs, and construct a new BL-algebras, called quotient BL-algebras, and give some homomorphism theorem.

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    APA: Copy

    BORZOUEI, R.A., & BAKHSHI, M.. (2009). T-FUZZY CONGRUENCES AND T-FUZZY FILTERS OF A BL-ALGEBRA. IRANIAN JOURNAL OF FUZZY SYSTEMS, 6(4), 37-47. SID. https://sid.ir/paper/564260/en

    Vancouver: Copy

    BORZOUEI R.A., BAKHSHI M.. T-FUZZY CONGRUENCES AND T-FUZZY FILTERS OF A BL-ALGEBRA. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2009;6(4):37-47. Available from: https://sid.ir/paper/564260/en

    IEEE: Copy

    R.A. BORZOUEI, and M. BAKHSHI, “T-FUZZY CONGRUENCES AND T-FUZZY FILTERS OF A BL-ALGEBRA,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 6, no. 4, pp. 37–47, 2009, [Online]. Available: https://sid.ir/paper/564260/en

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