Interval Pentapartitioned Neutrosophic Sets

Abstract

Pentapartitioned neutrosophic set is a powerful mathematical tool, which is the extension of
neutrosophic set and n-valued neutrosophic refined logic for better designing and modeling real-life
problems. A generalization of the notion of pentapartitioned neutrosophic set is introduced. The
new notion is called Interval Pentapartitioned Neutrosophic set (IPNS). Pentapartitioned
neutrosophic set is developed by combining the pentapartitioned neutrosophic set and interval
neutrosophic set. We define several set theoretic operations of IPNSs, namely, inclusion,
complement, intersection. We also establish various properties of set-theoretic operators.