Rough Approximations of Complex Quadripartitioned Single Valued Neutrosophic Sets

Abstract

The quadripartitioned single valued neutrosophic set consisting of the real-valued amplitude terms: truth-membership grade, contradiction-membership grade, ignorance-membership grade and falsity-membership grade, cannot handle complex-valued information. In this paper, the ranges of grades of truth-membership, contradiction-membership, ignorance-membership and falsity-membership are extended from the interval [0,1] to unit circle in the complex plane, and thus the notion of complex quadripartitioned single valued neutrosophic set is proposed. Further, some fundamental operations and relations on the complex quadripartitioned single valued neutrosophic sets are studied. Secondly, the rough approximations of complex quadripartitioned single valued neutrosophic sets are derived, and then their related remarkable properties are discussed. Finally, a formulation is proposed to measure rough degree of complex quadripartitioned single valued neutrosophic sets in the approximate space.

Keywords

• Single valued neutrosophic set
• quadripartitioned single valued neutrosophic set
• complex quadripartitioned single valued neutrosophic set
• rough approximations
• rough degree

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