Abstract

The aim of this paper is to introduce the new concept of quadri partitioned neutrosophic soft set and discussed some of its properties.And the focus of this paper is to propose a new notion of quadri partitioned neutrosophic soft set and to study some basic operations and results in quadri partitioned neutrosophic soft set. Further we develop a systematic study on quadri partitioned neutrosophic soft set and obtain various properties induced by them. Some equivalent characterization and inter-relations among them are discussed with counter example.

Highlights

  • The fuzzy set was introduced by Zadeh [19] in 1965

  • The relationships between inconsistent intuitionistic fuzzy sets, image fuzzy sets, neutrosophic sets, and intuitionistic fuzzy sets have been examined in Atanassov et al.[3]; it remains doubtful whether the indeterminacy associated with a particular element exists due to the element's ownership or nonsingle valued neutrosophic set (QSVNS)

  • Molodtsov[7] first proposed the idea of Soft Sets as an entirely new mathematical method to solve problems dealing with uncertainties

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Summary

Introduction

The fuzzy set was introduced by Zadeh [19] in 1965. F. 3. Quadri Partitioned Neutrosophic Soft Set (QNSS) Let P(X) denote the set of all quadri partitioned neutrosophic sets of X.

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