Fuzzy pseudo metric spaces pdf

R lowena comparison of different compactness notions in fuzzy topological spaces. Some properties and applications of fuzzy quasi pseudo metric spaces sorin nadaban1, ioan dzitac1,2. It is shown that george and veeramanis fuzzy pseudo metric can be characterized by a family of compatible ordinary pseudo metrics called pseudo metric chain in this paper. I have also been unable to show that the fuzzy pseudo metric on 0, 1 l in the example of section 6 is a fuzzy metric, or even that it is ty. In this paper, we obtain sufficiently many of fuzzy metric spaces from a metric space. This is the reason why, in this paper, we introduced and studied the concept of fuzzy b metric. Introduction in this paper, fuzzy pseudometric spaces, with the metric defined between two fuzzy points, are introduced. A note on similarity and dissimilarity measures between fuzzy sets.

Some properties and applications of fuzzy quasipseudo. In this paper, fuzzy metric spaces are redefined, different from the previous ones in the way that fuzzy scalars instead of fuzzy numbers or real numbers are used to define fuzzy metric. Also, we give some results on fhbounded frbounded and fmbounded. In a different direc tion, shi introduced pointwise metric. Fuzzy sets and systems similarity, orders, metrics. With the help of appropriate fuzzy notions of equinormality and lebesgue property, several characterizations of those fuzzy metric spaces, in the sense of a. Pdf answering an open question in fuzzy metric spaces. Thus, wilson 1931 introduced the notion of quasimetric space, kim 1968 introduced pseudoquasimetric spaces, and matthews 1994 intro duced the. As a generalization of km metric spaces and partial metric spaces, yue and gu 28 defined fuzzy partial pseudometric spaces. Pdf this paper attempts to endow the fuzzy pseudometric in the sense of george and veeramani with manyvalued topological structures. These theorems generalize and improve known results see 1. Pdf this paper attempts to generalize partial pseudo metric and fuzzy pseudo metric to a more general framework in this paper, we call. Some remarks on fuzzy kpseudometric spaces doiserbia. Some properties and applications of fuzzy quasipseudometric.

Metric spaces and their various generalizations occur frequently in computer science applications. Pdf fuzzy partial pseudometric spaces researchgate. In this paper, we state and prove some common fixed point theorems in fuzzy metric spaces. Journal of mathematical analysis and applications 86, 7495 1982 fuzzy pseudometric spaces zike deng department of mathematics. Fuzzy pseudometric spaces zike deng department of mathematics. Thevalueafii9848u in the definition of the fuzzifying topology can be interpreted as the degree to which u is an open set. Section 5 we consider sequential properties of fuzzy kpseudometric spaces, that is properties, which can. This paper attempts to endow the fuzzy pseudo metric in the sense of george and veeramani with manyvalued topological structures. I have not been able to show that every ty fuzzy pseudo metric space is a fuzzy metric space. Fuzzifying topology induced by fuzzy pseudometric recall that the value dx, y,t in the definition of the fuzzy pseudometric can be thought as the degree of the nearness between x and y with respect to t. To mention a few, pseudoquasi metric respectively, fuzzy pseudo metric.