Some new results using soft conflicting bifuzzy set approach
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Abstract
The soft conflicting bifuzzy set theory offers a general mathematical tool for dealing with uncertainty and fuzziness. The concept of soft sets which can be seen as a new mathematical approach to vagueness is used in many applications including reliability theory, decision making and medical diagnosis problems. Later, it is generalized to soft fuzzy set. In this paper we present the definition and operations of soft conflicting bifuzzy set. Furthermore, based on the analysis of several operations on soft conflicting bifuzzy set in the study, we provide some new notions such as the restricted intersection, the restricted union and the restricted difference of two soft conflicting bifuzzy sets. We also improve the notion of complement of a soft conflicting bifuzzy set and prove certain De Morgan’s laws hold in soft conflicting bifuzzy set with respect to the new definitions.
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