{"title":"基于时间直觉模糊集的数学模型","authors":"S. Geetha, R. Parvathi","doi":"10.7546/nifs.2022.28.4.475-490","DOIUrl":null,"url":null,"abstract":"Krassimir T. Atanassov’s intuitionistic fuzzy sets (IFS), one of the extensions of fuzzy sets, have shown to be one of the most effective ways to handle ambiguity. John N. Mordeson and Davender S. Malik developed the idea of a fuzzy finite state machine. Intuitionistic fuzzy finite state machines were created by Jun as a generalisation of fuzzy finite state machines. In order to increase the uncertainty and lower the periodic functions in intuitionistic fuzzy finite state automata, new membership and non-membership functions based on transitions were introduced in this study. Also, temporal intuitionistic fuzzy automata (TIFA) were defined and used to model a pattern.","PeriodicalId":433687,"journal":{"name":"Notes on Intuitionistic Fuzzy Sets","volume":"88 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A mathematical model using temporal intuitionistic fuzzy sets\",\"authors\":\"S. Geetha, R. Parvathi\",\"doi\":\"10.7546/nifs.2022.28.4.475-490\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Krassimir T. Atanassov’s intuitionistic fuzzy sets (IFS), one of the extensions of fuzzy sets, have shown to be one of the most effective ways to handle ambiguity. John N. Mordeson and Davender S. Malik developed the idea of a fuzzy finite state machine. Intuitionistic fuzzy finite state machines were created by Jun as a generalisation of fuzzy finite state machines. In order to increase the uncertainty and lower the periodic functions in intuitionistic fuzzy finite state automata, new membership and non-membership functions based on transitions were introduced in this study. Also, temporal intuitionistic fuzzy automata (TIFA) were defined and used to model a pattern.\",\"PeriodicalId\":433687,\"journal\":{\"name\":\"Notes on Intuitionistic Fuzzy Sets\",\"volume\":\"88 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-12-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Notes on Intuitionistic Fuzzy Sets\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7546/nifs.2022.28.4.475-490\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Notes on Intuitionistic Fuzzy Sets","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7546/nifs.2022.28.4.475-490","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
Krassimir T. Atanassov的直觉模糊集(IFS)是模糊集的扩展之一，已被证明是处理模糊性的最有效方法之一。John N. Mordeson和Davender S. Malik发展了模糊有限状态机的概念。直觉模糊有限状态机是由Jun作为模糊有限状态机的推广而创建的。为了增加直觉模糊有限状态自动机的不确定性，降低周期函数，引入了基于过渡的隶属函数和非隶属函数。同时，定义了时间直觉模糊自动机(TIFA)，并将其用于模式建模。
A mathematical model using temporal intuitionistic fuzzy sets
Krassimir T. Atanassov’s intuitionistic fuzzy sets (IFS), one of the extensions of fuzzy sets, have shown to be one of the most effective ways to handle ambiguity. John N. Mordeson and Davender S. Malik developed the idea of a fuzzy finite state machine. Intuitionistic fuzzy finite state machines were created by Jun as a generalisation of fuzzy finite state machines. In order to increase the uncertainty and lower the periodic functions in intuitionistic fuzzy finite state automata, new membership and non-membership functions based on transitions were introduced in this study. Also, temporal intuitionistic fuzzy automata (TIFA) were defined and used to model a pattern.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
