{"title":"BCK/BCI 算法中的 M 极 Q 反模糊集","authors":"M. Alshayea, K. Alsager","doi":"10.29020/nybg.ejpam.v17i1.4952","DOIUrl":null,"url":null,"abstract":"The main objective of this paper is to effectively define a new concept of the fabulous fuzzy set theory that is called m-polar Q-hesitant anti-fuzzy set and apply it to the BCK/BCI-algebras. The m-polar Q-hesitant anti-fuzzy set is an astonishing development of the combination between the m-polar fuzzy set and the Q-hesitant fuzzy set. However, we introduce knowledge of the m-polar Q-hesitant anti-fuzzy subalgebra, m-polar Q-hesitant anti-fuzzy ideal, closed m-polar Q-hesitant anti-fuzzy ideal, m-polar Q hesitant anti-fuzzy commutative ideal, m-polar Q-hesitant anti-fuzzy implicative ideal, and m-polar Q-hesitant anti-fuzzy positive implicative of BCK/BCI- algebras. In addition, we investigate several theorems, examples, and properties of these notions.","PeriodicalId":51807,"journal":{"name":"European Journal of Pure and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"M-polar Q-hesitant Anti-fuzzy Set in BCK/BCI-algebras\",\"authors\":\"M. Alshayea, K. Alsager\",\"doi\":\"10.29020/nybg.ejpam.v17i1.4952\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The main objective of this paper is to effectively define a new concept of the fabulous fuzzy set theory that is called m-polar Q-hesitant anti-fuzzy set and apply it to the BCK/BCI-algebras. The m-polar Q-hesitant anti-fuzzy set is an astonishing development of the combination between the m-polar fuzzy set and the Q-hesitant fuzzy set. However, we introduce knowledge of the m-polar Q-hesitant anti-fuzzy subalgebra, m-polar Q-hesitant anti-fuzzy ideal, closed m-polar Q-hesitant anti-fuzzy ideal, m-polar Q hesitant anti-fuzzy commutative ideal, m-polar Q-hesitant anti-fuzzy implicative ideal, and m-polar Q-hesitant anti-fuzzy positive implicative of BCK/BCI- algebras. In addition, we investigate several theorems, examples, and properties of these notions.\",\"PeriodicalId\":51807,\"journal\":{\"name\":\"European Journal of Pure and Applied Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2024-01-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"European Journal of Pure and Applied Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.29020/nybg.ejpam.v17i1.4952\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"European Journal of Pure and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.29020/nybg.ejpam.v17i1.4952","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
本文的主要目的是有效地定义美妙模糊集合理论中的一个新概念,即 m 极 Q-hesitant 反模糊集合,并将其应用于 BCK/BCI 对象。米极Q-hesitant反模糊集是米极模糊集与Q-hesitant模糊集结合的惊人发展。然而,我们介绍了 BCK/BCI- 代数的 m 极 Q-hesitant 反模糊子代数、m 极 Q-hesitant 反模糊理想、封闭 m 极 Q-hesitant 反模糊理想、m 极 Q 犹豫反模糊交换理想、m 极 Q-hesitant 反模糊蕴含理想和 m 极 Q-hesitant 反模糊正蕴含的知识。此外,我们还研究了这些概念的若干定理、示例和性质。
M-polar Q-hesitant Anti-fuzzy Set in BCK/BCI-algebras
The main objective of this paper is to effectively define a new concept of the fabulous fuzzy set theory that is called m-polar Q-hesitant anti-fuzzy set and apply it to the BCK/BCI-algebras. The m-polar Q-hesitant anti-fuzzy set is an astonishing development of the combination between the m-polar fuzzy set and the Q-hesitant fuzzy set. However, we introduce knowledge of the m-polar Q-hesitant anti-fuzzy subalgebra, m-polar Q-hesitant anti-fuzzy ideal, closed m-polar Q-hesitant anti-fuzzy ideal, m-polar Q hesitant anti-fuzzy commutative ideal, m-polar Q-hesitant anti-fuzzy implicative ideal, and m-polar Q-hesitant anti-fuzzy positive implicative of BCK/BCI- algebras. In addition, we investigate several theorems, examples, and properties of these notions.