Results 11 to 20 of about 107 (106)
Representations of ordered semigroups and the Physical concept of Entropy
The abstract concept of entropy is interpreted through the concept of numerical representation of a totally preordered set so that the concept of composition of systems or additivity of entropy can be analyzed through the study of additive ...
Juan C. Candeal +3 more
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60 pages, updated ...
Došen, Kosta, Petrić, Zoran
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Order compatibility for Cauchy spaces and convergence spaces
A Cauchy structure and a preorder on the same set are said to be compatible if both arise from the same quasi-uniform convergence structure on X. Howover, there are two natural ways to derive the former structures from the latter, leading to strong and
D. C. Kent, Reino Vainio
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Remarks on contractive type mappings
We present an analog of Banach’s fixed point theorem for C J M $CJM$ contractions in preordered metric spaces. These results substantially extend theorems of Ran and Reurings’ (Proc. Am. Math. Soc.
Jarosław Górnicki
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Normally preordered spaces and continuous multi-utilities
We study regular, normal and perfectly normal preorders by referring to suitable assumptions concerning the preorder and the topology of the space. We also present conditions for the existence of a countable continuous multi-utility representation, hence
Gianni Bosi +2 more
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Compactification of closed preordered spaces
A topological preordered space admits a Hausdorff T2-preorder compactification if and only if it is Tychonoff and the preorder is represented by the family of continuous isotone functions.
E. Minguzzi
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Lifting Theorems for Continuous Order-Preserving Functions and Continuous Multi-Utility
We present some lifting theorems for continuous order-preserving functions on locally and σ-compact Hausdorff preordered topological spaces. In particular, we show that a preorder on a locally and σ-compact Hausdorff topological space has a continuous ...
Gianni Bosi, Magalì Zuanon
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The Quotient in Preorder Theories [PDF]
In Proceedings GandALF 2020, arXiv:2009 ...
Inigo Incer Romeo +3 more
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We characterize the existence of a real continuous order-preserving function on a topological preordered space, under the hypotheses that the topological space is normal and the preorder satisfies a strong continuity assumption, called IC-continuity ...
Gianni Bosi, R. Isler
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On Interval-Valued Fuzzy Soft Preordered Sets and Associated Applications in Decision-Making
Recently, using interval-valued fuzzy soft sets to rank alternatives has become an important research area in decision-making because it provides decision-makers with the best option in a vague and uncertain environment. The present study aims to give an
Mabruka Ali, Adem Kılıçman
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