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.
Highlights
Robert Axelrod [1] developed cognitive maps, a decision making tool primarily used in handling the system of making decisions related to political and social frameworks
This research work proposes the concept of plithogenic cognitive maps and new neutrosophic maps
Several kinds of plithogenic cognitive maps are discussed in this article and it is validated with applications in decision making
Summary
Robert Axelrod [1] developed cognitive maps, a decision making tool primarily used in handling the system of making decisions related to political and social frameworks. Step 5: The instantaneous state vector X = (1 0 0 0 0 ...0) is passed into connection matrix and by applying the plithogenic operators, a resultant vector is obtained, and updated by applying the threshold operation by assigning 1 to the values (ai) greater than k, 0 to the values (ai) lesser than k, where k - a is a suitable positive integer. In this proposed approach the on position of the concepts is threshold with 1 and the indeterminate position of the concepts will be confined with the value C.
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