Bipolar quadripartitioned single valued neutrosophic sets

Sinha, Kalyan; Majumdar, Parthasarathi

doi:10.22199/issn.0717-6279-2020-06-0095

Cited by 6 publications

(2 citation statements)

References 18 publications

(19 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Mohansundari et al [49] initiated the quadripartitioned single-valued neutrosophic Dombi weighted aggregation operators for MADM. Sinha et al [50] introduced the bipolar quadripartitioned single-valued neutrosophic sets. Mary et al [51] proposed the quadripartitioned neutrosophic soft set.…”

Section: Introductionmentioning

confidence: 99%

Interval-valued intuitionistic quadripartitioned neutrosophic soft sets with T, F, C, and U as dependent neutrosophic components and their application in decision-making problem

Debnath¹

2022

Journal of New Results in Science

View full text Add to dashboard Cite

Molodtsov introduced a soft set (SS) to model uncertainty parametrically, and Chaterjee et al. proposed the notion of quadripartitioned neutrosophic set (QNS) by dividing indeterminacy into two independent components, namely contradiction (C) and unknown (U). Afterwards, by combining the SS and QNS, a new concept known as quadripartitioned neutrosophic soft set (QNSS) is introduced. In relation to the concept of QNSS, another concept called interval-valued intuitionistic quadripartitioned neutrosophic soft set (in short IVIQNSS) is established to handle more complex indeterminate information parametrically with the restricted conditions. This paper aims to further generalize the existing soft models by introducing an IVIQNSS to explore another kind of imprecise knowledge. The IVIQNSS model can be viewed as a more flexible and powerful framework to encounter indeterminacy parametrically with T,F,C, and U as dependent interval quadripartitioned neutrosophic components where T,F,C,U⊆[0,1] such that sup⁡T+sup⁡F≤1, and sup⁡C+sup⁡U≤1. So, by using the IVIQNSS framework we are capable to address the indeterminate, inconsistent, and incomplete information more accurately. Different operations such as complement, AND, OR, union, intersection, etc. are defined on IVIQNSSs. Furthermore, an algorithm is constructed to solve decision-making (DM) problems based on IVIQNSS. Finally, an illustrative example is executed to validate the proposed study.

show abstract

Section: Introductionmentioning

confidence: 99%

Interval-valued intuitionistic quadripartitioned neutrosophic soft sets with T, F, C, and U as dependent neutrosophic components and their application in decision-making problem

Debnath¹

2022

Journal of New Results in Science

View full text Add to dashboard Cite

show abstract

“…Further, the operations on neutrosophic vague graphs are discussed in [16]. Authors in [25] studied the bipolar quadripartitioned single-valued neutrosophic sets. In [3,26], the authors extensively studied about the concept of bipolar neutrosophic graphs.…”

Section: Introductionmentioning

confidence: 99%

New Concepts on Quadripartitioned Bipolar Single Valued Neutrosophic Graph

Hussain¹,

Muhiuddin²,

Durga³

et al. 2022

Computer Modeling in Engineering &Amp; Sciences

View full text Add to dashboard Cite

The partition of indeterminacy function of the neutrosophic set into the contradiction part and the ignorance part represent the quadripartitioned single valued neutrosophic set. In this work, the new concept of quadripartitioned bipolar single valued neutrosophic graph is established, and the operations on it are studied. The Cartesian product, cross product, lexicographic product, strong product and composition of quadripartitioned bipolar single valued neutrosophic graph are investigated. The proposed concepts are illustrated with examples.

show abstract