C-continuous fuzzy posets

IF 1.9 4区数学 Q1 MATHEMATICS

Iranian Journal of Fuzzy Systems Pub Date : 2021-06-01 DOI:10.22111/IJFS.2021.6082

Y. Zhang, Bin Zhao

引用次数: 0

Abstract

In this paper, we develop the C-continuity via Scott Q-cotopological spaces, where Q is a commutative and integral quantale.The main results are: (1) The set of all C-compact elements of a completeQ-ordered set is irreducible complete; (2) The Scott Q-cotopology of a Q-ordered set under the fuzzy inclusion order is C-continuous, evenC-prealgebraic; (3) We establish an adjunction between the category of irreducible complete Q-ordered sets and the category of C-prealgebraic complete Q-ordered sets.

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c -连续模糊集

本文在Scott Q-同拓扑空间中发展了c -连续性，其中Q是交换积分量子。主要结果是:(1)完全q序集的所有c紧元的集合是不可约的完全;(2)模糊包含阶下q序集的Scott q - co拓扑是c连续的，偶预代数的;(3)建立了不可约完备q序集范畴与c -前代数完备q序集范畴之间的一个附加关系。

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

Iranian Journal of Fuzzy Systems 数学-数学

CiteScore

3.50

自引率

16.70%

发文量

期刊介绍： The two-monthly Iranian Journal of Fuzzy Systems (IJFS) aims to provide an international forum for refereed original research works in the theory and applications of fuzzy sets and systems in the areas of foundations, pure mathematics, artificial intelligence, control, robotics, data analysis, data mining, decision making, finance and management, information systems, operations research, pattern recognition and image processing, soft computing and uncertainty modeling. Manuscripts submitted to the IJFS must be original unpublished work and should not be in consideration for publication elsewhere.