New Interval-Valued Soft Separation Axioms

Abstract

Our research’s main aim is to study two viewpoints: First, we define partial interval-valued soft T i(j)-spaces (i = 0, 1, 2, 3, 4; j = i, ii), study some of their properties and some of relationships among them, and give some examples. Second, we introduce the notions of partial total interval-valued soft T j(i)-spaces (i = 0, 1, 2, 3, 4; j = i, ii) and discuss some of their properties. We present some relationships among them and give some examples.

Keywords

• interval-valued soft topological space
• interval-valued soft continuous mapping
• PIVS<i>T_i</i>(j)-space (i = 0, 1, 2, 3, 4
• j = i, ii)
• PTIVSα<i>T_i</i>(j)-space (i = 0, 1, 2, 3, 4
• j = i, ii)