Entropy on intuitionistic fuzzy soft sets and on interval-valued fuzzy soft sets
Entropy on intuitionistic fuzzy soft sets and on interval-valued fuzzy soft sets
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直觉模糊软集和区间值模糊软集的熵
DOI：
10.1016/j.ins.2013.03.052
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发表时间：
2013-08-10
影响因子：
8.1
通讯作者：
Chen, Zhenzhou
中科院分区：
文献类型：
--
作者：
Jiang, Yuncheng;Tang, Yong;Chen, Zhenzhou
Molodtsov提出了软集合理论的概念，它可以作为处理不确定性的通用数学工具。然而，已经指出，经典的软集是不适合处理不精确和模糊的参数。为了处理这些类型的问题参数，一些模糊（或直觉模糊，区间值模糊）软集理论的扩展，产生模糊（或直觉模糊，区间值模糊）软集理论。定义了直觉模糊软集之间的距离测度，给出了直觉模糊软集的直觉熵的公理化定义和刻画直觉模糊软集的定理，讨论了直觉模糊软集与区间值模糊软集之间的关系，并将直觉模糊软集的熵结构转化为区间值模糊软集的熵结构. (C)2013 Elsevier Inc. All rights reserved.
Molodtsov initiated the concept of soft set theory, which can be used as a generic mathematical tool for dealing with uncertainty. However, it has been pointed out that classical soft sets are not appropriate to deal with imprecise and fuzzy parameters. In order to handle these types of problem parameters, some fuzzy (or intuitionistic fuzzy, interval-valued fuzzy) extensions of soft set theory are presented, yielding fuzzy (or intuitionistic fuzzy, interval-valued fuzzy) soft set theory. In this paper, we define the distance measures between intuitionistic fuzzy soft sets and give an axiom definition of intuitionistic entropy for an intuitionistic fuzzy soft set and a theorem which characterizes it. Furthermore, we discuss the relationship between intuitionistic fuzzy soft sets and interval-valued fuzzy soft sets and transform the structure of entropy for intuitionistic fuzzy soft sets to the interval-valued fuzzy soft sets. (C) 2013 Elsevier Inc. All rights reserved.