Open AccessOn Soft Metric Spaces
Author(s) -
radwa mohamed hassan
Publication year - 2016
Publication title -
journal of advances in mathematics
Language(s) - English
Resource type - Journals
ISSN - 2347-1921
DOI - 10.24297/jam.v12i3.452
Subject(s) - converse , mathematics , soft set , compact space , metric (unit) , topological space , metric space , topology (electrical circuits) , pure mathematics , computer science , artificial intelligence , combinatorics , geometry , fuzzy logic , operations management , economics
After the famous article of Moldotsove [10] in 1999 which initiate the theory of soft sets as a mathematical theory to deal with the uncertainty problems, many research works in the softbmathematics and its applications in various fields are appeared. In [17], the authers introduced a new definition of the soft metric function using the soft elements. By this definition each soft metric in view of Das and Samanta [6] is also a soft metric in our concept but the converse is not true. In the present paper, some soft topological properties are given in details, namely (soft compactness, soft sequentially compactness, continuity and uniformly continues of soft functions between soft topological spaces). We hope that the findings in thispaper will help researcher enhance and promote the further study on soft topology to carry out a general framework for theirapplications in practical life.