IV-fuzzy ideals in negative non-involutive residuated lattices

doi:10.3778/j.issn.1002-8331.1707-0334

Abstract

Abstract: Fuzzy algebra is an important content in the study of fuzzy logic. In order to understand the characteristics of ideal in negative non-involutive residuated lattices, the concept of interval valued fuzzy ideal in negative non-involutive residuated lattice is introduced. The related properties of interval valued fuzzy ideal in negative non-involutive residuated lattice are discussed. Furthermore, it is proved that the intersection, direct product, isomorphic image and homomorphism inverse image of interval valued fuzzy ideal in negative non-involutive residuated lattice are also interval valued fuzzy ideals.

Key words: negative non-involutive residuated lattice, interval valued fuzzy ideal, direct product, homomorphism

摘要： 模糊代数是模糊逻辑的一个重要研究内容。为进一步了解否定非对合剩余格的理想之特性，在否定非对合剩余格中引入了区间值模糊理想概念。讨论了否定非对合剩余格的区间值模糊理想的相关性质。证明了一个否定非对合剩余格的区间值模糊理想的交、直积、同构像和同态原像仍是区间值模糊理想。

关键词: 否定非对合剩余格, 区间值模糊理想, 直积, 同态

LIU Chunhui. IV-fuzzy ideals in negative non-involutive residuated lattices[J]. Computer Engineering and Applications, 2018, 54(18): 40-44.

刘春辉. 否定非对合剩余格的IV-模糊理想[J]. 计算机工程与应用, 2018, 54(18): 40-44.

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IV-fuzzy ideals in negative non-involutive residuated lattices

否定非对合剩余格的IV-模糊理想

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