{"title":"直觉模糊值的演算","authors":"E. Yavuz","doi":"10.55730/1300-0098.3392","DOIUrl":null,"url":null,"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.","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A calculus for intuitionistic fuzzy values\",\"authors\":\"E. Yavuz\",\"doi\":\"10.55730/1300-0098.3392\",\"DOIUrl\":null,\"url\":null,\"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.\",\"PeriodicalId\":51206,\"journal\":{\"name\":\"Turkish Journal of Mathematics\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Turkish Journal of Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.55730/1300-0098.3392\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Turkish Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.55730/1300-0098.3392","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
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.
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.