Single, Double, Triple, Quadruple, Quintuple-valued IndetermSoft Set

Soft sets are parameterized families of subsets of a universe, where each parameter selects elements relevant under a condition. This paper develops IndetermSoft sets, a class designed to treat indeterminacy explicitly through structured value slices. We define five variants: (i) Single-valued, mapping each attribute value to one subset capturing undirected indeterminacy; (ii) Double-valued, splitting into truth-leaning and falsity-leaning slices; (iii) Triple-valued, adding a neutral slice; (iv) Quadruple-valued, refining polarity by distinguishing strong and ordinary truth/falsity leanings; and (v) Quintuple-valued, further introducing a central neutral band between the two strengths. These constructions yield a uniform framework for modeling ambiguous evidence, conflicts, and missing context.