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Information Journal Paper

Title

The cross-migrativity equation with respect to semi-t-operators

Pages

  17-33

Abstract

 The cross-migrativity has been investigated for families of certain aggregation operators, such as t-norms, t-subnorms and uninorms. In this paper, we aim to study the cross-migrativity property for semi-t-operators, which are generalizations of t-operators by omitting commutativity. Specifically, we give all solutions of the cross-migrativity equation for all possible combinations of semi-t-operators. Moreover, it is shown that if a semi-t-operator F is alpha-cross-migrative over another semi-t-operator G, then G must be a semi-nullnorm except one case. Finally, it is pointed out that the cross-migrativity property between two semi-t-operators is always determined by their underlying operators except a few cases.

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    • Cite

    APA: Copy

    Zhao, y.y., & Qin, f.. (2021). The cross-migrativity equation with respect to semi-t-operators. IRANIAN JOURNAL OF FUZZY SYSTEMS, 18(1 ), 17-33. SID. https://sid.ir/paper/413966/en

    Vancouver: Copy

    Zhao y.y., Qin f.. The cross-migrativity equation with respect to semi-t-operators. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2021;18(1 ):17-33. Available from: https://sid.ir/paper/413966/en

    IEEE: Copy

    y.y. Zhao, and f. Qin, “The cross-migrativity equation with respect to semi-t-operators,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 18, no. 1 , pp. 17–33, 2021, [Online]. Available: https://sid.ir/paper/413966/en

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