Pythagorean Membership Grades in Multicriteria Decision Making
Pythagorean Membership Grades in Multicriteria Decision Making
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DOI：
10.1109/tfuzz.2013.2278989
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发表时间：
2014-08-01
影响因子：
11.9
通讯作者：
Yager, Ronald R.
中科院分区：
文献类型：
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作者：
Yager, Ronald R.
我们首先看一些非标准模糊集、直觉模糊集和区间值模糊集。我们注意到，这两种方法在分配成员资格时都允许少于1的承诺程度。我们看一下这些集合的否定的形式，并用标准补关于承诺程度的表达式来表示它。然后考虑补运算。我们描述它的性质，并看看补运算的其他定义。然后我们关注毕达哥拉斯互补。利用这个补，我们引入了一类非标准毕达哥拉斯模糊子集，它们的隶属等级是对，（a, b），满足条件a(2) + b(2)
We first look at some nonstandard fuzzy sets, intuitionistic, and interval-valued fuzzy sets. We note both these allow a degree of commitment of less then one in assigning membership. We look at the formulation of the negation for these sets and show its expression in terms of the standard complement with respect to the degree of commitment. We then consider the complement operation. We describe its properties and look at alternative definitions of complement operations. We then focus on the Pythagorean complement. Using this complement, we introduce a class of nonstandard Pythagorean fuzzy subsets whose membership grades are pairs, (a, b) satisfying the requirement a(2) + b(2)