Families of quasi-pseudo-metrics generated by probabilistic quasi-pseudo-metric spaces
Journal Title: Surveys in Mathematics and its Applications - Year 2007, Vol 2, Issue 0
Abstract
This paper contains a study of families of quasi-pseudo-metrics (the concept of a quasi-pseudo-metric was introduced by Wilson (1931) , Albert (1941) and Kelly (1963)) generated by probabilistic quasi-pseudo-metric-spaces which are generalization of probabilistic metric space (PM-space shortly) [2, 3, 4, 6]. The idea of PM-spaces was introduced by Menger (1942, 1951), Schweizer and Sklar (1983) and Serstnev (1965). Families of pseudo-metrics generated by PM-spaces and those generalizing PM-spaces have been described by Stevens (1968) and Nishiure (1970).
Authors and Affiliations
Mariusz Grabiec, Yeol Je Cho, Reza Saadati
Keywords
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