{"title":"An alternative construction of uninorms on bounded lattices","authors":"G. Çayli","doi":"10.1080/03081079.2023.2196421","DOIUrl":null,"url":null,"abstract":"In this article, we first introduce a method for obtaining uninorms on a bounded lattice with the identity element using an interior operator on and a t-conorm on Next, based on a closure operator on and a t-norm on a construction method for uninorms on with the identity element is proposed. Furthermore, we state that these methods are generalizations of those described in [Çaylı, G. D. 2018. “A Characterization of Uninorms on Bounded Lattices by Means of Triangular Norms and Triangular Conorms.” International Journal of General Systems 47: 772–793. doi:10.1080/03081079.2018.1513929; Dan, Y., and B. Q. Hu. 2020. “A New Structure for Uninorms on Bounded Lattices.” Fuzzy Sets and Systems 386: 77–94. doi:10.1016/j.fss.2019.02.001.]. Some corresponding examples are also provided to illustrate that our methods differ from the existing ones.","PeriodicalId":50322,"journal":{"name":"International Journal of General Systems","volume":"52 1","pages":"574 - 596"},"PeriodicalIF":2.4000,"publicationDate":"2023-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of General Systems","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.1080/03081079.2023.2196421","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"COMPUTER SCIENCE, THEORY & METHODS","Score":null,"Total":0}
引用次数: 1
Abstract
In this article, we first introduce a method for obtaining uninorms on a bounded lattice with the identity element using an interior operator on and a t-conorm on Next, based on a closure operator on and a t-norm on a construction method for uninorms on with the identity element is proposed. Furthermore, we state that these methods are generalizations of those described in [Çaylı, G. D. 2018. “A Characterization of Uninorms on Bounded Lattices by Means of Triangular Norms and Triangular Conorms.” International Journal of General Systems 47: 772–793. doi:10.1080/03081079.2018.1513929; Dan, Y., and B. Q. Hu. 2020. “A New Structure for Uninorms on Bounded Lattices.” Fuzzy Sets and Systems 386: 77–94. doi:10.1016/j.fss.2019.02.001.]. Some corresponding examples are also provided to illustrate that our methods differ from the existing ones.
期刊介绍：
International Journal of General Systems is a periodical devoted primarily to the publication of original research contributions to system science, basic as well as applied. However, relevant survey articles, invited book reviews, bibliographies, and letters to the editor are also published.
The principal aim of the journal is to promote original systems ideas (concepts, principles, methods, theoretical or experimental results, etc.) that are broadly applicable to various kinds of systems. The term “general system” in the name of the journal is intended to indicate this aim–the orientation to systems ideas that have a general applicability. Typical subject areas covered by the journal include: uncertainty and randomness; fuzziness and imprecision; information; complexity; inductive and deductive reasoning about systems; learning; systems analysis and design; and theoretical as well as experimental knowledge regarding various categories of systems. Submitted research must be well presented and must clearly state the contribution and novelty. Manuscripts dealing with particular kinds of systems which lack general applicability across a broad range of systems should be sent to journals specializing in the respective topics.
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