Reciprocal fraction function tools used for ?-rung Quadripartitioned neutrosophic sets

Abstract

This paper presents a new method for creating a ?-rung reciprocal fraction function. We introduce quadripartitioned neutrosophic sets (QNSS). The reciprocal fraction function applied to quadripartitioned neutrosophic sets are the neutrosophic sets and ?-rung neutrosophic sets. This article will examine weighted geometric, quadripartitioned neutrosophic set weighted averaging, generalized weighted averaging, and generalized weighted geometric operators. Boundedness, idempotency, monotonicity and commutativity are also discussed. © 2025, University of New Mexico. All rights reserved.