Interval-valued neutrosophic soft sets and its decision making

Abstract

In this paper, the notion of the interval valued neutrosophic soft sets (ivn−soft sets) is defined which is a combination of an interval valued neutrosophic sets [36] and a soft sets [30]. Our ivn−soft sets generalizes the concept of the soft set, fuzzy soft set, interval valued fuzzy soft set, intuitionistic fuzzy soft set, interval valued intuitionistic fuzzy soft set and neutrosophic soft set. Then, we introduce some definitions and operations on ivn−soft sets sets. Some properties of ivn−soft sets which are connected to operations have been established. Also, the aim of this paper is to investigate the decision making based on ivn−soft sets by level soft sets. Therefore, we develop a decision making methods and then give a example to illustrate the developed approach.

Neutrosophic Parametrized Soft Set Theory and its Decision Making

“…Inspired by the decision making methods regard in [12][13][14][15][16][17][18][19].In this section, we also present NPdecision method to neutrosophic parameterized soft set. Based on definition 4.1 and 4.2 we construct an NP-decision making method by the following algorithm.…”

“…Then, many interesting results of soft set theory have been studied on fuzzy soft sets [8,12,23], on intuitionistic fuzzy soft set theory [14,25], on possibility fuzzy soft set [7], on generalized fuzzy soft sets [26,29], on generalized intuitionistic fuzzy soft [6], on interval-valued intuitionistic fuzzy soft sets [20], on intuitionistic neutrosophic soft set [9], on generalized neutrosophic soft set [10], on fuzzy parameterized soft set theory [17,18], on fuzzy parameterized fuzzy soft set theory [13], on intuitionistic fuzzy parameterized soft set theory [15], on IFP−fuzzy soft set theory [16],on neutrosophic soft set [24].interval-valued neutrosophic soft set [11,19].…”

Neutrosophic soft set decision making for stock trending analysis

“…After Maji, the investigations on the neutrosophic delicate set theory have been considered progressively Broumi and Smarandache 2013). From scholastic perspective, the NS should be determined on the grounds that are connected to genuine applications (Deli 2017). In NS, indeterminacy is evaluated expressly and other membership degrees are free.…”

Merger and Acquisition Target Selection Based on Interval Neutrosophic Multigranulation Rough Sets over Two Universes

“…In order to utilize NSs easily in real-world situations, Wang et al [10] constructed the definition and some operational laws of interval neutrosophic sets (INSs). Ever since the establishment of INSs, many scholars have studied INSs from different viewpoints and obtained an increasing number of academic achievements [11][12][13][14][15][16][17][18][19][20][21]. In light of the above, M&A target selection using IN information could handle uncertain situations and indeterminate information well and provide corporate acquirers with more exemplary and flexible access to convey their understandings about the M&A knowledge base.…”