1 Affiliation : Department of Mathematics, Arul Anandar College (Autonomous), Karumathur, India
Email : firstname.lastname@example.org
2 Affiliation : Department of Mathematics, University of New Mexico, Gallup, NM 87301, USA
Email : email@example.com
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.
Plithogenic set , cognitive maps , plithogenic cognitive maps , confinement of indeterminacy , plithogenic fuzzy operators , plithogenic neutrosophic operators.
 Axelrod, R., Structure of Decision: The Cognitive Maps of Political Elites. Princeton,1976.
 Nakamura, K., S. Iwai and T. Sawaragi., “Decision Support Using Causation Knowledge Base”, J. IEEE Transactions on Systems, Man and Cybernetics, Vol.12, pp.765-777,1982.
 Chaib-draa, B., “Causal Maps: Theory, Implementation, and Practical Applications in Multiagent Environments”, J. IEEE Transactions on Knowledge and Data Engineering, Vol. 14, 2002.
 Klein, J.L., D.F. Cooper, “Cognitive Maps Decision Markers in a Complex Game”, J. of Operational Research Soc., Vol.2, pp -377-393,1982.
 Alejandro Pena1.,Humberto Sossa., Agustin Gutierrez., “Cognitive Maps: an Overview and their Application for Student Modeling”, Computacion y Sistemas Vol. 10 No. 3, pp -230-250, 2007.
 Zadeh, L. A. “Fuzzy set”, Inform and Control 8, 338-353,1965.
 Kosko, B., Fuzzy Cognitive Maps. Int. J. of Man-Machine Studies, V. 24, 1986, 65-75.
 Papakostas, G. A. , Boutalis, Y. S., Koulouriotis, D. E. ,Mertzios, B. G., “Fuzzy cognitive maps for pattern recognition applications”, International Journal of Pattern Recognition and Artificial IntelligenceVol. 22, No. 08, pp. 1461-1486,2008.
 Abdollah Amirkhania.,Elpiniki I.Papageorgioub.,AkramMohsenia.,Mohammad R.Mosavia., “A review of fuzzy cognitive maps in medicine: Taxonomy, methods, and applications’’, Computer Methods and Programs in Biomedicine,Vol.142, pp – 129-145,2017.
 Chrysostomos ,D.,StyliosPeter P.Groumpos, “Application of Fuzzy Cognitive Maps in Large Manufacturing Systems”, IFAC Proceedings Volumes,Vol. 31, pp-521-526,1998.
 Asmaa Mourhir.,Elpiniki I Papageorgiou., Konstantinos Nikolaos Kokkinos.,Tajje-eddine Rachidi., “Exploring Precision Farming Scenarios Using Fuzzy Cognitive Maps”, Sustainability , Vol.9,pp-1-23,2017.
 Atanassov, K.T. “Intuitionistic fuzzy sets“. Fuzzy Sets Syst. 20, 87–96,1983.
 Elpiniki I Papageorgiou.,Dimitris Iakovidis., “Intuitionistic Fuzzy Cognitive Maps”, IEEE Transactions on Fuzzy Systems. Vol 21, pp -342-354,2013.
 Hajek.P., Prochazka,O., Froelich,W., "Interval-valued intuitionistic fuzzy cognitive maps for stock index forecasting," 2018 IEEE Conference on Evolving and Adaptive Intelligent Systems (EAIS), Rhodes, 2018, pp. 1-7, doi: 10.1109/EAIS.2018.8397170.
 Hajek.P., Prochazka,O., "Interval-valued intuitionistic fuzzy cognitive maps for supplier selection", Intelligent Decision Technologies 2017: Proceedings of the 9th KES International Conference on Intelligent Decision Technologies (KES-IDT 2017) - Part I, pp. 207-217, 2018.
Smarandache,F.,”Neutrosophic set, a generalization of the Intuitionistic Fuzzy Sets”, International Journal of Pure and Applied Mathematics, Vol.24,pp-, 287-297,2005.
 Mohamed Bisher Zeina., “Erlang Service Queueing Model with Neutrosophic Parameters”, International Journal of Neutrosophic Science, Vol.6,pp- 106-112,2020.
 Malath F. Alaswad., “A Study of the Integration of Neutrosophic Thick Function”, International Journal of Neutrosophic Science, Vol.6,pp- 97-105,2020.
 Salama, A. A., Bondok Henawy, M.S, Rafif Alhabib, “Online Analytical Processing Operations via Neutrosophic Systems”, International Journal of Neutrosophic Science, Vol.8,pp- 87-109,2020.
 Agboola A.A.A., “Introduction to Neutro Rings”, ”, International Journal of Neutrosophic Science, Vol.7,pp- 62-73,2020.
 Riad .K. Al-Hamido , Luai Salha , Taleb Gharibah, “Neutrosophic Crisp Semi Separation Axioms In Neutrosophic Crisp Topological Spaces”, International Journal of Neutrosophic Science, Vol.6,pp- 32-40,2020.
 Necati Olgun., Ahmed Hatip., “On Refined Neutrosophic R-module”, International Journal of Neutrosophic Science, Vol.7,pp- 87-96,2020.
 Ibrahim, M.A.,Agboola, A.A.A. , Badmus, B.S.,Akinleye, S.A., “n Refined Neutrosophic Vector Spaces”, International Journal of Neutrosophic Science, Vol.7,pp- 97-109,2020.
 Mohammad Hamidi, Florentin Smarandache, “NEUTRO-BCK-algebra”, International Journal of Neutrosophic Science, Vol.8,pp- 110-117,2020.
 Abdel-Baset, M., Chang, V., Gamal, A. Evaluation of the green supply chain management practices: A novel neutrosophic approach. Computers in Industry,Vol. 108,pp- 210-220,2019.
Vasantha Kandasamy,W. B. ,Florentin Smarandache, “Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps”,Xiquan Publishers, Phoenix, 2003.
 Nivetha Martin., Aleeswari.A., Lilly Merline,W., “Risk Factors of Lifestyle Diseases – Analysis by Decagonal Linguistic Neutrosophic Fuzzy Cognitive Map”, Materials Today: Proceedings,Vol. 24, pp-1939-1943,2020.
Nivetha Martin., Lilly Merline,W., “A Case Study on the problems faced by the Entrepreneurs of Karumathur in Madurai District”, Global Journal of Finance and Management, Vol. 9, pp. 23-28,2017.
Smarandache, F. Plithogeny, Plithogenic Set, Logic, Probability, and Statistics. 2018,arXiv preprint arXiv:1808.03948.
Smarandache, F. Extension of Soft set to Hypersoft Set, and then to Plithogenic Hypersoft Set, Neutrosophic set and Systems, Vol.22, pp-68-70.,2018.
 Shazia Rana ., Madiha Qayyum.,Muhammad Saeed., Florentin Smarandache ., Bakhtawar Ali Khan., "Plithogenic Fuzzy Whole Hypersoft Set, Construction of Operators and their Application in Frequency Matrix Multi Attribute Decision Making Technique", Neutrosophic Sets and Systems, Vol 28, pp.34-50,2019.
 Martin, Nivetha and Florentin Smarandache. "Concentric Plithogenic Hypergraph based on Plithogenic Hypersoft sets – A Novel Outlook." Neutrosophic Sets and Systems Vol.33, pp-78-91,2020.
 Smarandache, Florentin., "Extension of HyperGraph to n-SuperHyperGraph and to Plithogenic n- SuperHyperGraph, and Extension of HyperAlgebra to n-ary (Classical-/Neutro-/Anti-)HyperAlgebra" Neutrosophic Sets and Systems, Vol 33, pp.290-296, 2020.
 Florentin Smarandache., Nivetha Martin., “Plithogenic n- Super Hypergraph in Novel Multi – Attribute Decision Making”, International Journal of Neutrosophic Science, Vol.7,pp-8-30,2020.
 Abdel-Basset, M., Mohamed, R., Zaied, A. E. N. H., & Smarandache, F. A hybrid plithogenic decision-making approach with quality function deployment for selecting supply chain sustainability metrics. Symmetry, Vol.11,903,2019.