0000000001096764

AUTHOR

Raivis Bēts

showing 2 related works from this author

Rekurentu vārdu struktūra: noturība un tuvības mērs

2016

Elektroniskā versija nesatur pielikumus

Fizika materiālzinātne matemātika un statistikaMatemātika
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Fuzzy $$\varphi $$ -pseudometrics and Fuzzy $$\varphi $$ -pseudometric Spaces

2017

By replacing the axiom \(m(x,x,t) = 1\) for all \(x\in X, t>0\) in the definition of a fuzzy pseudometric in the sense of George-Veeramani with a weaker axiom \(m(x,x,t) = \varphi (t)\) for all \(x\in X, t>0\) where \(\varphi : {\mathbb R}^+ \rightarrow (0,1]\) is a non-decreasing function, we come to the concept of a fuzzy \(\varphi \)-pseudometric space. Basic properties of fuzzy \(\varphi \)-pseudometric spaces and their mappings are studied. We show also an application of fuzzy \(\varphi \)-pseudometrics in the words combinatorics.

CombinatoricsBaire category theoremPseudometric spaceFunction (mathematics)Space (mathematics)Fuzzy logicAxiomCauchy sequenceMathematics
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