A calculus for intuitionistic fuzzy values

IF 0.8 4区数学 Q2 MATHEMATICS

Turkish Journal of Mathematics Pub Date : 2023-01-01 DOI:10.55730/1300-0098.3392

E. Yavuz

引用次数: 0

Abstract

We introduce ⊕ calculus and ⊗ calculus for intuitionistic fuzzy values and prove some basic theorems by using multiplicative calculus which has useful tools to represent the concepts of introduced calculi. Besides, we construct some isomorphic mappings to interpret the relationships between ⊕ calculus and ⊗ calculus. This paper reveals also new calculi for fuzzy sets in particular.

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直觉模糊值的演算

我们介绍了直觉模糊值的Ş演算和⊗演算，并用乘法演算证明了一些基本定理，乘法演算具有表示引入演算概念的有用工具。此外，我们还构造了一些同构映射来解释Ş演算和⊗演算之间的关系。本文还特别揭示了模糊集的新演算。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Turkish Journal of Mathematics 数学-数学

CiteScore

1.80

自引率

10.00%

发文量

161

审稿时长

6-12 weeks

期刊介绍： The Turkish Journal of Mathematics is published electronically 6 times a year by the Scientific and Technological Research Council of Turkey (TÜBİTAK) and accepts English-language original research manuscripts in the field of mathematics. Contribution is open to researchers of all nationalities.