IEEE Transactions on Fuzzy Systems· 2016Q1
Generalized Orthopair Fuzzy Sets
- 2,179citations
- Q1SCImago
- 2016year
Short summary
A new class of fuzzy sets, q-rung orthopair fuzzy sets, is introduced, generalizing existing intuitionistic fuzzy sets by allowing the sum of the qth power of support for and against membership to be bounded by one.
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Key points
- Introduces q-rung orthopair fuzzy sets where sum of qth powers of support for/against membership <= 1.
- Generalizes Atanassov's intuitionistic sets (q=1) and Pythagorean sets (q=2).
- Increasing 'q' expands the space of acceptable orthopairs, allowing more freedom in expressing belief.
- Investigates set and aggregation operations for these generalized sets.
AI-generated from the title and abstract; the full text is not read.
Abstract
We note that orthopair fuzzy subsets are such that that their membership grades are pairs of values, from the unit interval, one indicating the degree of support for membership in the fuzzy set and the other support against membership. We discuss two examples, Atanassov's classic intuitionistic sets and a second kind of intuitionistic set called Pythagorean. We note that for classic intuitionistic sets the sum of the support for and against is bounded by one, while for the second kind, Pythagorean, the sum of the squares of the support for and against is bounded by one. Here we introduce a general class of these sets called q-rung orthopair fuzzy sets in which the sum of the qth power of the support for and the qth power of the support against is bonded by one. We note that as q increases the space of acceptable orthopairs increases and thus gives the user more freedom in expressing their belief about membership grade. We investigate various set operations as well as aggregation operations involving these types of sets.
The authors' abstract, as published at the source. IEEE Transactions on Fuzzy Systems, 2016 · DOI ↗
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Field: Management Science and Operations Research
Management Science and Operations ResearchDecision Sciences