{"title":"基于费曼模糊型软集方法的距离和熵的度量","authors":"M. Kirişci","doi":"10.32323/ujma.1379260","DOIUrl":null,"url":null,"abstract":"This paper introduces the definition of Fermatean fuzzy soft sets and some of its properties. The Fermatean fuzzy soft sets are a parameterized family of Fermatean fuzzy soft sets. Fermatean fuzzy soft sets are a generalization of soft sets. Remarkably, the basic properties and operations of Fermatean soft sets are given. Entropy and distance measures are defined for the Fermatean fuzzy soft sets. Further, we propose two algorithms for the decision-making problem and pattern recognition. Finally, illustrative examples are discussed to prove that they can be effectively used to solve problems with uncertainties.","PeriodicalId":498123,"journal":{"name":"Universal journal of mathematics and applications","volume":" 16","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Measures of Distance and Entropy Based on Fermatean Fuzzy Type Soft Sets Approach\",\"authors\":\"M. Kirişci\",\"doi\":\"10.32323/ujma.1379260\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper introduces the definition of Fermatean fuzzy soft sets and some of its properties. The Fermatean fuzzy soft sets are a parameterized family of Fermatean fuzzy soft sets. Fermatean fuzzy soft sets are a generalization of soft sets. Remarkably, the basic properties and operations of Fermatean soft sets are given. Entropy and distance measures are defined for the Fermatean fuzzy soft sets. Further, we propose two algorithms for the decision-making problem and pattern recognition. Finally, illustrative examples are discussed to prove that they can be effectively used to solve problems with uncertainties.\",\"PeriodicalId\":498123,\"journal\":{\"name\":\"Universal journal of mathematics and applications\",\"volume\":\" 16\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-01-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Universal journal of mathematics and applications\",\"FirstCategoryId\":\"0\",\"ListUrlMain\":\"https://doi.org/10.32323/ujma.1379260\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Universal journal of mathematics and applications","FirstCategoryId":"0","ListUrlMain":"https://doi.org/10.32323/ujma.1379260","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Measures of Distance and Entropy Based on Fermatean Fuzzy Type Soft Sets Approach
This paper introduces the definition of Fermatean fuzzy soft sets and some of its properties. The Fermatean fuzzy soft sets are a parameterized family of Fermatean fuzzy soft sets. Fermatean fuzzy soft sets are a generalization of soft sets. Remarkably, the basic properties and operations of Fermatean soft sets are given. Entropy and distance measures are defined for the Fermatean fuzzy soft sets. Further, we propose two algorithms for the decision-making problem and pattern recognition. Finally, illustrative examples are discussed to prove that they can be effectively used to solve problems with uncertainties.
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