Abstract
The concept of intuitionistic fuzzy soft sets in a decision making problem and the problem is solved with the help of 'similarity measurement' technique. The purpose of this paper is to initiate the concept of Intuitionistic Fuzzy(IF) soft boundary. We discuss and explore the characterizations and properties of IF soft boundary in general as well as in terms of IF soft interior and IF soft closure. Examples and counter examples are also presented to validate the discussed results.
Highlights
The notion of fuzzy sets was introduced by Zadeh [23]
One major problem shared by those theories is their incompatibility with the parameterization tools. To overcome these di¢ culties, Molodtsov [19] introduced the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the di¢ culties that have troubled the
Suppose that bd(fA)=ee ee. (i) First we prove that fA is an IF soft closed set
Summary
The notion of fuzzy sets was introduced by Zadeh [23]. After that several researches were conducted on the generalizations of the notion of fuzzy set. One major problem shared by those theories is their incompatibility with the parameterization tools To overcome these di¢ culties, Molodtsov [19] introduced the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the di¢ culties that have troubled the. Molodtsov pointed out several directions for the applications of soft sets This theory has proven useful in many di¤erent ...elds such as decision making [6][20], data analysis [4][24], forecasting [21] and so on. Li et al [14] initiated IF topological structures of IF soft sets They explored the notions of IF soft open(closed) sets, IF soft interior(closure) and IF soft base in IF soft topological spaces. Examples and counter examples are presented to validate the discussed results
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