Designing Fuzzy Sets With the Use of the Parametric Principle of Justifiable Granularity | Zendy

Witold Pedrycz | Zendy; Xianmin Wang | Zendy

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Designing Fuzzy Sets With the Use of the Parametric Principle of Justifiable Granularity

Author(s) -

Witold Pedrycz,

Xianmin Wang

Publication year - 2015

Publication title -

ieee transactions on fuzzy systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.886

H-Index - 191

eISSN - 1941-0034

pISSN - 1063-6706

DOI - 10.1109/tfuzz.2015.2453393

Subject(s) - computing and processing

This study is concerned with a design of membership functions of fuzzy sets. The membership functions are formed in such a way that they are experimentally justifiable and exhibit a sound semantics. These two requirements are articulated through the principle of justifiable granularity. The parametric version of the principle is discussed in detail. We show linkages with type-2 fuzzy sets, which are constructed on a basis of type-1 fuzzy sets. Several experimental studies are reported, which illustrate a behavior of the introduced method.

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