有界格上uniforms的另一种构造

IF 2.4 4区计算机科学 Q2 COMPUTER SCIENCE, THEORY & METHODS International Journal of General Systems Pub Date : 2023-04-04 DOI:10.1080/03081079.2023.2196421

G. Çayli

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引用次数: 1

摘要

在本文中，我们首先介绍了一种在具有单位元的有界格上使用上的内部算子和下一个上的t-锥来获得单形的方法，在上的闭包算子和上的t-范数的基础上，提出了具有单位元上的单形的构造方法。此外，我们指出，这些方法是[CÇaylı，G.D.2018中描述的方法的推广。“用三角范数和三角锥刻画有界格上的单范数”，《国际通用系统杂志》47:772–793。doi:10.1080/3081079.2018.1513929；Dan，Y.和B.Q.Hu.2020。“有界格上统一范数的一个新结构”，模糊集与系统386:77-94。doi:10.1016/j.fs.2019.02.001.]。还提供了一些相应的例子来说明我们的方法与现有方法的不同。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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An alternative construction of uninorms on bounded lattices

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.

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来源期刊

International Journal of General Systems 工程技术-计算机：理论方法

CiteScore

4.10

自引率

20.00%

发文量

审稿时长

6 months

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.