The Experts below are selected from a list of 36 Experts worldwide ranked by ideXlab platform

Stojan Bogdanovic - One of the best experts on this subject based on the ideXlab platform.

  • fuzzy equivalence relations and their equivalence classes
    Fuzzy Sets and Systems, 2007
    Co-Authors: Miroslav Ciric, Jelena Ignjatovic, Stojan Bogdanovic
    Abstract:

    In this paper we investigate various properties of equivalence classes of fuzzy equivalence relations over a Complete residuated lattice. We give certain characterizations of fuzzy semi-partitions and fuzzy partitions over a Complete residuated lattice, as well as over a linearly ordered Complete Heyting Algebra. In the latter case, for a fuzzy equivalence relation over a linearly ordered Complete Heyting Algebra, we construct an algorithm for calculation of a minimal family of its equivalence classes which generates it. Most of the presented results are new, but some of them are generalizations of known results given in a way which simplifies and clarifies them.

Miroslav Ciric - One of the best experts on this subject based on the ideXlab platform.

  • fuzzy equivalence relations and their equivalence classes
    Fuzzy Sets and Systems, 2007
    Co-Authors: Miroslav Ciric, Jelena Ignjatovic, Stojan Bogdanovic
    Abstract:

    In this paper we investigate various properties of equivalence classes of fuzzy equivalence relations over a Complete residuated lattice. We give certain characterizations of fuzzy semi-partitions and fuzzy partitions over a Complete residuated lattice, as well as over a linearly ordered Complete Heyting Algebra. In the latter case, for a fuzzy equivalence relation over a linearly ordered Complete Heyting Algebra, we construct an algorithm for calculation of a minimal family of its equivalence classes which generates it. Most of the presented results are new, but some of them are generalizations of known results given in a way which simplifies and clarifies them.

Zhou Jinglei - One of the best experts on this subject based on the ideXlab platform.

  • the largest solution of linear equation over the Complete Heyting Algebra
    Acta Mathematica Scientia, 2010
    Co-Authors: Zhou Jinglei, L I Qingguo
    Abstract:

    Abstract Let (L, ≤, ∨, ∧) be a Complete Heyting Algebra. In this article, the linear system Ax = b over a Complete Heyting Algebra, where classical addition and multiplication operations are replaced by ∨ and ∧ respectively, is studied. We obtain: (i) the necessary and sufficient conditions for S(A,b) ≠ θ; (ii) the necessary conditions for |S(A,b)| = 1. We also obtain the vector x ˜ ∈ L n and prove that it is the largest element of S(A,b) if S(A,b) ≠ θ.

Jelena Ignjatovic - One of the best experts on this subject based on the ideXlab platform.

  • fuzzy equivalence relations and their equivalence classes
    Fuzzy Sets and Systems, 2007
    Co-Authors: Miroslav Ciric, Jelena Ignjatovic, Stojan Bogdanovic
    Abstract:

    In this paper we investigate various properties of equivalence classes of fuzzy equivalence relations over a Complete residuated lattice. We give certain characterizations of fuzzy semi-partitions and fuzzy partitions over a Complete residuated lattice, as well as over a linearly ordered Complete Heyting Algebra. In the latter case, for a fuzzy equivalence relation over a linearly ordered Complete Heyting Algebra, we construct an algorithm for calculation of a minimal family of its equivalence classes which generates it. Most of the presented results are new, but some of them are generalizations of known results given in a way which simplifies and clarifies them.

L I Qingguo - One of the best experts on this subject based on the ideXlab platform.

  • the largest solution of linear equation over the Complete Heyting Algebra
    Acta Mathematica Scientia, 2010
    Co-Authors: Zhou Jinglei, L I Qingguo
    Abstract:

    Abstract Let (L, ≤, ∨, ∧) be a Complete Heyting Algebra. In this article, the linear system Ax = b over a Complete Heyting Algebra, where classical addition and multiplication operations are replaced by ∨ and ∧ respectively, is studied. We obtain: (i) the necessary and sufficient conditions for S(A,b) ≠ θ; (ii) the necessary conditions for |S(A,b)| = 1. We also obtain the vector x ˜ ∈ L n and prove that it is the largest element of S(A,b) if S(A,b) ≠ θ.