Convexity of fuzzy sets from the viewpoint of fuzzy logic
| Autor: | Yang Xu, D. Meng, X.D. Pan |
|---|---|
| Rok vydání: | 2010 |
| Předmět: |
Discrete mathematics
Fuzzy classification Mathematics::General Mathematics Fuzzy set MathematicsofComputing_NUMERICALANALYSIS Fuzzy subalgebra Type-2 fuzzy sets and systems Defuzzification Fuzzy logic ComputingMethodologies_PATTERNRECOGNITION TheoryofComputation_ANALYSISOFALGORITHMSANDPROBLEMCOMPLEXITY Fuzzy set operations Fuzzy number ComputingMethodologies_GENERAL Mathematics |
| Zdroj: | 2010 IEEE International Conference on Industrial Engineering and Engineering Management. |
| DOI: | 10.1109/ieem.2010.5674248 |
| Popis: | In order to investigate the graded properties of convex fuzzy sets, from the viewpoint of fuzzy logic, in this paper, we introduce the notions of (λ,T)-convex fuzzy set, (λ,T)-strong convex fuzzy set, (λ,T)-strictly convex fuzzy set based on t-norm based fuzzy logic. The relations among these convex fuzzy sets is characterized. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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