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Three-Dimensional Expansion and Graphical Concept of Generalized Triangular Fuzzy Set

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  • Yong Sik Yun
  • M. T. Rahim

Abstract

We have studied the extended algebraic operations between two fuzzy numbers and calculated Zadeh’s max-min composition operator for two generalized triangular fuzzy sets in ℠2. And we generalized the triangular fuzzy numbers from ℠2 to ℠3. We prove that the result of the three-dimensional case is an extension of two-dimensional case and presented it in a graph. The extension is proved by showing that the result obtained by restricting the three-dimensional result to two-dimensional result is consistent with the existing two-dimensional result.

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  • Yong Sik Yun & M. T. Rahim, 2022. "Three-Dimensional Expansion and Graphical Concept of Generalized Triangular Fuzzy Set," Journal of Mathematics, Hindawi, vol. 2022, pages 1-11, April.
    • Handle: RePEc:hin:jjmath:3248127
    DOI: 10.1155/2022/3248127
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