On limitations of e-Operators

IF 3.1 1区数学 Q2 COMPUTER SCIENCE, THEORY & METHODS

Fuzzy Sets and Systems Pub Date : 2026-06-15 Epub Date: 2026-02-17 DOI:10.1016/j.fss.2026.109832

Juscelino Araújo , Benjamín Bedregal , Ana Shirley Monteiro , Regivan Santiago , Eduardo Palmeira

引用次数: 0

Abstract

This paper studies e-operators. They are a class of mappings that allow the extension of operations defined on a lattice to a larger one while preserving key algebraic properties. A characterization of these mappings is presented. It is shown that operations on a lattice L can be extended via e-operators only to lattices that are isomorphic to the lattice of intervals of L.

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论电子经营者的局限性

本文以电子经营者为研究对象。它们是一类映射，允许将在晶格上定义的操作扩展到更大的晶格，同时保留关键的代数性质。给出了这些映射的表征。证明了格L上的运算只能通过e算子扩展到与L的区间格同构的格上。

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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来源期刊

Fuzzy Sets and Systems 数学-计算机：理论方法

CiteScore

6.50

自引率

17.90%

发文量

321

审稿时长

6.1 months

期刊介绍： Since its launching in 1978, the journal Fuzzy Sets and Systems has been devoted to the international advancement of the theory and application of fuzzy sets and systems. The theory of fuzzy sets now encompasses a well organized corpus of basic notions including (and not restricted to) aggregation operations, a generalized theory of relations, specific measures of information content, a calculus of fuzzy numbers. Fuzzy sets are also the cornerstone of a non-additive uncertainty theory, namely possibility theory, and of a versatile tool for both linguistic and numerical modeling: fuzzy rule-based systems. Numerous works now combine fuzzy concepts with other scientific disciplines as well as modern technologies. In mathematics fuzzy sets have triggered new research topics in connection with category theory, topology, algebra, analysis. Fuzzy sets are also part of a recent trend in the study of generalized measures and integrals, and are combined with statistical methods. Furthermore, fuzzy sets have strong logical underpinnings in the tradition of many-valued logics.