{"title":"结合-平面表示和区间去模糊化方法","authors":"Sarah Greenfield, F. Chiclana","doi":"10.2991/eusflat.2011.25","DOIUrl":null,"url":null,"abstract":"This paper is concerned with the defuzzification of the discretised generalised type-2 fuzzy set. In 2008 Liu proposed the α-Plane Representation — a decomposition of the generalised type-2 set into horizontal slices termed ‘α-planes’. An α-plane is akin to an interval type-2 fuzzy set. The α-Plane Representation must be used in conjunction with an interval defuzzification method: The three main options are 1. the Karnik-Mendel Iterative Procedure, 2. the Greenfield-Chiclana Collapsing Defuzzifier, or 3. the Nie-Tan Method. The experiments recorded in this paper address the question, “Which is the best interval defuzzification method for the α-Plane Representation to be combined with?”","PeriodicalId":403191,"journal":{"name":"EUSFLAT Conf.","volume":"15 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"13","resultStr":"{\"title\":\"Combining the -Plane Representation with an Interval Defuzzification Method\",\"authors\":\"Sarah Greenfield, F. Chiclana\",\"doi\":\"10.2991/eusflat.2011.25\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper is concerned with the defuzzification of the discretised generalised type-2 fuzzy set. In 2008 Liu proposed the α-Plane Representation — a decomposition of the generalised type-2 set into horizontal slices termed ‘α-planes’. An α-plane is akin to an interval type-2 fuzzy set. The α-Plane Representation must be used in conjunction with an interval defuzzification method: The three main options are 1. the Karnik-Mendel Iterative Procedure, 2. the Greenfield-Chiclana Collapsing Defuzzifier, or 3. the Nie-Tan Method. The experiments recorded in this paper address the question, “Which is the best interval defuzzification method for the α-Plane Representation to be combined with?”\",\"PeriodicalId\":403191,\"journal\":{\"name\":\"EUSFLAT Conf.\",\"volume\":\"15 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-08-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"13\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"EUSFLAT Conf.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2991/eusflat.2011.25\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"EUSFLAT Conf.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2991/eusflat.2011.25","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Combining the -Plane Representation with an Interval Defuzzification Method
This paper is concerned with the defuzzification of the discretised generalised type-2 fuzzy set. In 2008 Liu proposed the α-Plane Representation — a decomposition of the generalised type-2 set into horizontal slices termed ‘α-planes’. An α-plane is akin to an interval type-2 fuzzy set. The α-Plane Representation must be used in conjunction with an interval defuzzification method: The three main options are 1. the Karnik-Mendel Iterative Procedure, 2. the Greenfield-Chiclana Collapsing Defuzzifier, or 3. the Nie-Tan Method. The experiments recorded in this paper address the question, “Which is the best interval defuzzification method for the α-Plane Representation to be combined with?”
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