An Expanded Concept and Graph of Zadeh’s Algebraic Operations for 3-Dimensional Generalized Triangular Fuzzy Sets | Zendy

Yong Sik Yun | Zendy

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An Expanded Concept and Graph of Zadeh’s Algebraic Operations for 3-Dimensional Generalized Triangular Fuzzy Sets

Author(s) -

Yong Sik Yun

Publication year - 2022

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2022/1663666

Subject(s) - mathematics , algebraic number , fuzzy set , discrete mathematics , algebra over a field , fuzzy logic , membership function , fuzzy number , graph , algebraic structure , algebraic operation , pure mathematics , artificial intelligence , mathematical analysis , computer science

Algebraic operators for fuzzy sets have been studied in 2-dimensional space. We define the algebraic operators between two 3-dimensional fuzzy sets and calculate the operators for the generalized 3-dimensional triangular fuzzy sets. To facilitate an understanding of the results in 3D, the values of membership function are displayed in graphs using color density. We give various types of graphs of α -cuts.

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