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Full Length Article
Volume 9 , Issue 1, PP: 09-21 , 2020

Title

Plithogenic Cognitive Maps in Decision Making

Authors Names :   Nivetha Martin   1 *     Florentin Smarandache   2  

1  Affiliation :  Department of Mathematics, Arul Anandar College (Autonomous), Karumathur, India

    Email :  nivetha.martin710@gmail.com


2  Affiliation :  Department of Mathematics, University of New Mexico, Gallup, NM 87301, USA

    Email :  smarand@unm.edu



Doi   :  10.5281/zenodo.3950063

Received: March 27, 2020 Revised: May 27, 2020 Accepted: July 05, 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.

Keywords :

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

 

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