BCK/ bci代数怀疑双极模糊h理想的新概念

IF 1.3 Q4 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE

International Journal of Innovative Computing Information and Control Pub Date : 2018-12-01 DOI:10.24507/IJICIC.14.06.2025

Anas Al-Masarwah, A. Ahmad

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引用次数: 23

摘要

本文引入了BCK/ bci -代数的怀疑双极模糊h理想的概念，并研究了其一些有趣的性质。考虑BCK/ bci -代数的怀疑双极模糊h理想，刻画了强怀疑正t-水平切集、强怀疑负s-水平切集、同态和等价关系。讨论了特征怀疑双极模糊h理想的表征定理。特别地，利用极大极小运算引入了两个怀疑双极模糊h理想的笛卡尔积的概念，并研究了一些相关的性质。利用两个双极值模糊集的笛卡尔积的怀疑水平切集，将普通h理想与怀疑双极模糊h理想联系起来。

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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Novel concepts of doubt bipolar fuzzy H-ideals of BCK/BCI-algebras

In this paper, we introduce the notion of doubt bipolar fuzzy H-ideals of BCK/BCI-algebras and investigate some interesting properties. We characterize strong doubt positive t-level cut set, strong doubt negative s-level cut set, homomorphism and equivalence relation by considering doubt bipolar fuzzy H-ideals of BCK/BCI-algebras. Characterization theorem of characteristic doubt bipolar fuzzy H-ideals is also discussed. Particularly, the notion of Cartesian product of two doubt bipolar fuzzy H-ideals by using max-min operations is introduced, and some related properties are studied. Ordinary H-ideals are linked with doubt bipolar fuzzy H-ideals by means of doubt level cut set of Cartesian product of two bipolar-valued fuzzy sets.

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来源期刊

International Journal of Innovative Computing Information and Control 工程技术-计算机：人工智能

CiteScore

3.20

自引率

20.00%

发文量

审稿时长

4.3 months

期刊介绍： The primary aim of the International Journal of Innovative Computing, Information and Control (IJICIC) is to publish high-quality papers of new developments and trends, novel techniques and approaches, innovative methodologies and technologies on the theory and applications of intelligent systems, information and control. The IJICIC is a peer-reviewed English language journal and is published bimonthly