Mathematics and Statistics Faculty and Staff Publications

Document Type

Article

Publication Date

7-2020

Abstract

Plithogenic sets introduced by Smarandache (2018) have disclosed new research vistas and this paper introduces the novel concept of plithogenic cognitive maps (PCM) and its applications in decision making. The new approach of defining instantaneous state neutrosophic vector with the confinement of indeterminacy to (0,1] is proposed to quantify the degree of indeterminacy. The resultant vector is obtained by applying instantaneous state vector through the connection matrix together with plithogenic operators comprising the contradiction degrees. The connection matrix is represented as fuzzy matrix and neutrosophic matrix and the resultant vector is determined by applying plithogenic fuzzy operators and plithogenic neutrosophic operators respectively. The obtained results are highly feasible in making the decision as it incorporates the contradiction degree of the conceptual nodes with respect to the dominant node. This research work will certainly pave the way for developing new approaches in decision making using PCM.

Publisher

American Scientific Publishing Group

Publication Title

International Journal of Neutrosophic Science

Volume

9

Issue

1

First Page

9

Last Page

21

DOI

DOI:10.5281/zenodo.3950063

Language (ISO)

English

Keywords

Plithogenic set, cognitive maps, plithogenic cognitive maps, confinement of indeterminacy, plithogenic fuzzy operators, plithogenic neutrosophic operators

Creative Commons License

Creative Commons Attribution 4.0 License
This work is licensed under a Creative Commons Attribution 4.0 License.

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