直觉模糊偏好关系的因子化

IF 0.7 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

New Mathematics and Natural Computation Pub Date : 2014-03-18 DOI:10.1142/S179300571450001X

J. Mordeson, T. Clark, Karen E. Albert

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引用次数: 1

摘要

直观模糊二元关系< ρμ，ρν >的许多分解结果的证明涉及到两个证明，一个是关于ρμ关于t-适形⊕的证明，一个是关于ρν关于t-范数⊗的证明。本文证明了在对合模糊补下，考虑⊕和⊗对偶可以由另一个证明得到。我们提供了一系列关于共定义规范和共定义规范的奇异证明。

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Factorization of intuitionistic fuzzy preference relations

The proofs of many factorization results for an intuitionistic fuzzy binary relation 〈ρμ,ρν〉 involve dual proofs, one for ρμ with respect to a t-conorm ⊕ and one for ρν with respect to a t-norm ⊗. In this paper, we show that one proof can be obtained from the other by considering ⊕ and ⊗ dual under an involutive fuzzy complement. We provide a series of singular proofs for commonly defined norms and conorms.

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来源期刊

New Mathematics and Natural Computation MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

1.70

自引率

10.00%

发文量