An application of a representation theorem for fuzzy metrics to domain theory

Mardones-Perez I.; de Prada Vicente M. A.

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An application of a representation theorem for fuzzy metrics to domain theory

机译：模糊度量表示定理在领域理论中的应用

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摘要

In this paper we study the interplay between fuzzy metric spaces and domain theory using the representation theorem established in Mardones-Perez and de Prada Vicente (2012) [12]. We will prove that suitable restrictions of completeness in fuzzy metric spaces correspond to a structure of domain in the poset of formal balls endowed with appropriate orders. (C) 2016 Elsevier B.V. All rights reserved.

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《Fuzzy sets and systems》 |2016年第1期|72-83|共12页
作者
Mardones-Perez I.; de Prada Vicente M. A.;
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作者单位

Univ Basque Country, UPV EHU, Dept Math, Apdo 644, Bilbao 48080, Spain;

Univ Basque Country, UPV EHU, Dept Math, Apdo 644, Bilbao 48080, Spain;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Pseudometric; Fuzzy (pseudo)metric space; Completeness; Formal balls; Domain; Domain environment; Domain representable; Model;

机译：伪计量;模糊（伪）度量空间;完备性;形式球;域;域环境;域可表示;模型;

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1. Some Minimization Theorems for Fixed Point Theorems in Fuzzy Metric Spaces with Applications [J] . H. K. Pathak, S. N. Mishra The Journal of fuzzy mathematics . 2001,第2期

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2. Quicksort algorithm: Application of a fixed point theorem in intuitionistic fuzzy quasi-metric spaces at a domain of words [J] . Saadati R, Vaezpour SM, Cho YJ Journal of Computational and Applied Mathematics . 2009,第1期

机译：快速排序算法：定点定理在词域直觉模糊拟度量空间中的应用
3. The Banach fixed point theorem in fuzzy quasi-metric spaces with application to the domain of words [J] . S. Romaguera, A. Sapena, P. Tirado Topology and its applications . 2007,第10期

机译：模糊拟度量空间中的Banach不动点定理及其在词域中的应用
4. APPLICATIONS OF FUZZY SET THEORY AND RECENT DEVELOPMENT IN FIXED POINT THEORY IN FUZZY METRIC SPACES [C] . Sushil Sharma International Conference on Mathematical Science . 2011

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5. POTENTIAL THEORY FOR SUPERMARTINGALES AND APPLICATIONS OF CHOQUET'S THEOREM TO MARTIN REPRESENTATION THEORY. [D] . CURTIS, ELLWOOD COUNT. 1965

机译：超级MAR势的可能理论和CHOQUET定理在马丁表示理论中的应用。
6. Some Theorems in Finite Field Theory with Applications to Fermats Last Theorem [O] . H. S. Vandiver 1944

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7. Quicksort algorithm: Application of a fixed point theorem in intuitionistic fuzzy quasi-metric spaces at a domain of words [O] . Saadati Reza, Vaezpour S. Mansour, Cho Yeol J. 2009

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An application of a representation theorem for fuzzy metrics to domain theory

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