{"title":"半-算子上2-一致子的分布性","authors":"Ya-Ming Wang, Huawen Liu, F. Qin","doi":"10.1109/ISKE.2017.8258732","DOIUrl":null,"url":null,"abstract":"The aim of this paper is mainly to solve the functional equations of distributivity for 2-uninorms over semit-operators. Our investigations are motivated by the couple of distributive logical connectives and their generalizations, one of which covering both uninorms and nullnorms are 2-uninorms. In this work, we discuss all possible cases of the distributivity equations for 2-uninorms over semi-t-operators, and give the sufficient and necessary conditions that 2-uninorms are distributive over semi-t-operators.","PeriodicalId":208009,"journal":{"name":"2017 12th International Conference on Intelligent Systems and Knowledge Engineering (ISKE)","volume":"22 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Distributivity for 2-uninorms over semi-t-operators\",\"authors\":\"Ya-Ming Wang, Huawen Liu, F. Qin\",\"doi\":\"10.1109/ISKE.2017.8258732\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The aim of this paper is mainly to solve the functional equations of distributivity for 2-uninorms over semit-operators. Our investigations are motivated by the couple of distributive logical connectives and their generalizations, one of which covering both uninorms and nullnorms are 2-uninorms. In this work, we discuss all possible cases of the distributivity equations for 2-uninorms over semi-t-operators, and give the sufficient and necessary conditions that 2-uninorms are distributive over semi-t-operators.\",\"PeriodicalId\":208009,\"journal\":{\"name\":\"2017 12th International Conference on Intelligent Systems and Knowledge Engineering (ISKE)\",\"volume\":\"22 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2017 12th International Conference on Intelligent Systems and Knowledge Engineering (ISKE)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISKE.2017.8258732\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2017 12th International Conference on Intelligent Systems and Knowledge Engineering (ISKE)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISKE.2017.8258732","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Distributivity for 2-uninorms over semi-t-operators
The aim of this paper is mainly to solve the functional equations of distributivity for 2-uninorms over semit-operators. Our investigations are motivated by the couple of distributive logical connectives and their generalizations, one of which covering both uninorms and nullnorms are 2-uninorms. In this work, we discuss all possible cases of the distributivity equations for 2-uninorms over semi-t-operators, and give the sufficient and necessary conditions that 2-uninorms are distributive over semi-t-operators.
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