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期刊名称: IEEE Transactions on Fuzzy Systems
Volume:22    Issue:4        Page:958-965
ISSN:1063-6706

Pythagorean Membership Grades in Multicriteria Decision Making期刊论文

作者: Yager Ronald R
DOI:10.1109/TFUZZ.2013.2278989

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页码: 958-965
被引频次: 261
出版者: IEEE,IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC,The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
期刊名称: IEEE Transactions on Fuzzy Systems
ISSN: 1063-6706
卷期: Volume:22    Issue:4
语言: English
摘要: 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 ≤ 1. We introduce a variety of aggregation operations for these Pythagorean fuzzy subsets. We then look at multicriteria decision making in the case where the criteria satisfaction are expressed using Pythagorean membership grades. The issue of having to choose a best alternative in multicriteria decision making leads us to consider the problem of comparing Pythagorean membership grades.
相关主题: Aggregation, membership grade, Fuzzy sets, Uncertainty, Decision making, decision-making, Abstracts, nonstandard fuzzy set, Open wireless architecture, Indexes, Standards, FUZZY, FUZZINESS, NEGATION, SYSTEMS, COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE, ENGINEERING, ELECTRICAL & ELECTRONIC, Fuzzy logic, Complement, Fuzzy set theory, Agglomeration, Criteria, Fuzzy systems,

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