Abstract
In this paper the soft vectorial MV-algebra has been studied. In first, we defined the concept of soft vectorial MV-algebra and give some examples. Then we establish some basic properties and investigate the effect of the extended intersection, restricted intersection, ∧-intersection, extended union, restricted union, ∨-union and soft function on them. Keywords: Soft Set, Soft Vectorial MV-Algebra, Vectorial MV-Algebra
Highlights
Mathematics has been a powerful instrument for solving many problems in the human life during history
In this paper we introduce the concept of soft vectorial MV-algebra and investigate their properties
Soft sets are applied to algebraic structures like fuzzy sets
Summary
Mathematics has been a powerful instrument for solving many problems in the human life during history. Has born for modeling and solving these problems One of these new theories is the theory of soft sets that introduced by Molodtsove[25] in 1999. After three years of introducing of soft set, Maji et al.[22] applied the soft set theory in decision making problems. Noje et al.[26] defined the concept of vectorial MV-algebra They showed that the RGB model (the colors model of a pixel on the screen) has the vectorial MV-algebra structure. They introduce the continuous functions with values in a complete vectorial MV-algebra and gained a Weierstrass type approximation theorem. In this paper we introduce the concept of soft vectorial MV-algebra and investigate their properties.
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