直觉模糊集集合中运算的若干性质:一种新方法

IF 1 Q1 MATHEMATICS European Journal of Pure and Applied Mathematics Pub Date : 2023-10-30 DOI:10.29020/nybg.ejpam.v16i4.4939

Dwi Nur Yunianti, Noor Hidayat, Raden Sulaiman, Abdul Rouf Alghofari

{"title":"直觉模糊集集合中运算的若干性质:一种新方法","authors":"Dwi Nur Yunianti, Noor Hidayat, Raden Sulaiman, Abdul Rouf Alghofari","doi":"10.29020/nybg.ejpam.v16i4.4939","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce collection of intuitionistic fuzzy sets as a new concept of intuitionistic fuzzy sets. In ordinary, universal set in intuitionistic fuzzy sets is classical set. So in this paper, we generalize the universal set as a collection or family of intuitionistic fuzzy sets. We also present intersection and union operation on collection of of intuitionistic fuzzy sets and show that the operations hold commutative, assosiative, idempotent, and De Morgan’s laws properties.","PeriodicalId":51807,"journal":{"name":"European Journal of Pure and Applied Mathematics","volume":"130 5","pages":"0"},"PeriodicalIF":1.0000,"publicationDate":"2023-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Some Properties of Operations in the Collection of Intuitionistic Fuzzy Sets : A Novel Approach\",\"authors\":\"Dwi Nur Yunianti, Noor Hidayat, Raden Sulaiman, Abdul Rouf Alghofari\",\"doi\":\"10.29020/nybg.ejpam.v16i4.4939\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we introduce collection of intuitionistic fuzzy sets as a new concept of intuitionistic fuzzy sets. In ordinary, universal set in intuitionistic fuzzy sets is classical set. So in this paper, we generalize the universal set as a collection or family of intuitionistic fuzzy sets. We also present intersection and union operation on collection of of intuitionistic fuzzy sets and show that the operations hold commutative, assosiative, idempotent, and De Morgan’s laws properties.\",\"PeriodicalId\":51807,\"journal\":{\"name\":\"European Journal of Pure and Applied Mathematics\",\"volume\":\"130 5\",\"pages\":\"0\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2023-10-30\",\"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.v16i4.4939\",\"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.v16i4.4939","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

本文引入直觉模糊集集合作为直觉模糊集的一个新概念。一般情况下，直觉模糊集中的全称集是经典集。因此，本文将全称集推广为直觉模糊集的集合或族。给出了直觉模糊集合集合上的交并运算，并证明了这些运算具有交换律、结合律、幂等律和De Morgan定律的性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Some Properties of Operations in the Collection of Intuitionistic Fuzzy Sets : A Novel Approach

In this paper, we introduce collection of intuitionistic fuzzy sets as a new concept of intuitionistic fuzzy sets. In ordinary, universal set in intuitionistic fuzzy sets is classical set. So in this paper, we generalize the universal set as a collection or family of intuitionistic fuzzy sets. We also present intersection and union operation on collection of of intuitionistic fuzzy sets and show that the operations hold commutative, assosiative, idempotent, and De Morgan’s laws properties.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊