Measuring contradiction on A-IFS defined in finite universes
Measuring contradiction on A-IFS defined in finite universes
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DOI：
10.1016/j.knosys.2011.06.004
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发表时间：
2011-12
期刊：
影响因子：
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通讯作者：
E. Castiñeira;C. Torres-Blanc;S. Cubillo
中科院分区：
文献类型：
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作者：
E. Castiñeira;C. Torres-Blanc;S. Cubillo
这里概述的工作旨在建立和检查在有限宇宙中定义的Atanassov直觉模糊集（A-IFS）上的矛盾度量。本文给出了A-IFS框架中矛盾测度的公理定义。对上述测度给出了若干形式化连续性概念的公理。在本文中，第1节简要讨论了开展这项工作所需的初步工作，随后的一节分析了话语域对有限集的限制如何影响连续性公理。下面三节讨论三种具体的矛盾措施。在第3节中，使用连续t-范数和模糊否定来构造一个大的测度族。这些措施满足不同类型的连续性，这些连续性将在后面详细讨论。然后，第4节和第5节讨论了[8,10,9]中介绍的其他族，证明了它们在连续性方面的行为比之前的文章更好，因为这里考虑的宇宙是有限的。
The work outlined here aims to build and examine contradiction measures on Atanassov intuitionistic fuzzy sets (A-IFS) that are defined in this particular case in finite universes. The axiomatic definition of contradiction measure in the A-IFS framework was given in [7]. A number of axioms formalizing the concept of continuity for the above measures were also given. In this paper, Section 1, which briefly discusses the preliminaries required to develop the work, is followed by a section analysing how the restriction of the universe of discourse to a finite set influences the continuity axioms. The following three sections look at three types of specific contradiction measures. In Section 3, continuous t-norms and fuzzy negations are used to construct a large family of measures. These measures satisfy different types of continuity, which are examined at length. Then, Sections 4 and 5 take up other families introduced in [8,10,9], proving that their behaviour with respect to continuity is better than it was in the earlier articles because the universes considered here are finite.