A Gentle Introduction to Cognitive Map Based on Input Output Linguistic Variables

Authors

DOI:

https://doi.org/10.4108/eetcasa.v8i1.2731

Keywords:

Fuzzy logic, Linguistic variable,, feedback Graphs, Cognitive Maps

Abstract

This paper studies on feedback graph model of linguistic variables which is generated from Hedge algebra.
We also introduce a visual graphic model for input - output cognitive maps.

References

Chrysostomos D. Stylios E and Peter P. Groumpos. Mathematical formulation of fuzzy cognitive maps. Proceedings of the 7th Mediterranean Conference on Control and Automation, pages 28–30, 1999.

Mabel. Frias, Filiberto Yaima, Gonzalo Nápoles, Koen. Vahoof, and Rafael. Bello. Fuzzy cognitive maps reasoning with words: An ordinal approach. In ISFUROS, 2017.

Michael Glykas. Fuzzy Cognitive Maps, Advances in Theory, Tools and Applications. Springer, 2010.

Nguyen Van Han and Phan Cong Vinh. Modeling with words based on hedge algebra. 7th EAI International Conference, ICCASA 2018 and 4th EAI International Conference, ICTCC 2018, 266:211–217, 2018.

Nguyen Van Han and Phan Cong Vinh. Toward modeling and reasoning with words based on hedge algebra. EAI Endorsed Trans. Context-aware Syst. & Appl, 5(15):e5, 2018.

Nguyen Van Han and Phan Cong Vinh. Reasoning with words: A hedge algebra linguistic cognitive map approach. Concurrency and Computation Practice and Experience, 33(2):e5711, Feb 2020.

Nguyen Van Han and Phan Cong Vinh. Toward computing linguistic fuzzy graphs and applying to illegal immigration problem. EAI Endorsed Trans. Context-aware Syst. & Appl, 7(22):166361, 2020.

Nguyen Cat Ho, Tran Thai Son, Tran Dinh Khang, and Le Xuan Viet. Fuzziness measure, quantified semantic mapping and interpolative method of approximate reasoning in medical expert systems. Journal of Computer Science and Cybernetics, 18(3):237–252, 2002.

Nguyen Cat Ho and W.Wechler. Hedge algebras: An algebraic approach to structure of sets of linguistic truth values. Fuzzy Sets and Systems, 35(3):281–293, 1990.

B. Kosko. Fuzzy cognitive mpas. Internation Journal of Man-Machine Studies, 24:65–75, 1986.

L.A.Zadeh. The concept of a linguistic variable and its applications to approximate reasoning. Information Sciences, 8(3):199–249, 1975.

L.A.Zadeh. Fuzzy-set-theoretic interpretation of linguistic hedges. Journal of Cybernetics, 2:4–34, 1977.

L.A.Zadeh. Computing with words - Principal Concepts and Ideas. Studies in Fuzziness and Soft Computing. Springer, 2012.

E. H. Mmdani. Application of fuzzy logic to approximate reasoning using linguistic synthesis. IEEE Transactions on Computers, C-26(12):1182–1191, 1977.

J.N. Mordeson and P.S. Nair. Fuzzy Graphs and Fuzzy Hypergraphs. Physica-Verlag, Heidelberg, 2000.

John N. Mordeson and Sunil Mathew. Advanced Topics in Fuzzy Graph Theory. Springer Nature Switzeland AG, 2019.

Elpiniki I. Papageorgiou. Fuzzy Cognitive Maps for Applied Science and Engineering From Fundamentals to Extensions and Learning Algorithms. Springer-Verlag Berlin Heidelberg, 2014.

A Rosenfeld. Fuzzy graphs. Fuzzy Sets and Their Applications, pages 77–95, 1975.

C.D. Stylios, V. C. Georgopoulos, and P. P. Groumpos. Mathematical formulation of fuzzy cognitive maps. IEEE Med. Conf. on Control & Systems, 1997.

Lotti A. Zadeh and Janusz Kacprzyk. Computing with Word in Information Intelligent System 1. Springer-Verlag BBerlin Heidelberg GmbH, 1999.

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Published

19-10-2022

How to Cite

1.
Han NV, Vinh PC. A Gentle Introduction to Cognitive Map Based on Input Output Linguistic Variables. EAI Endorsed Trans Context Aware Syst App [Internet]. 2022 Oct. 19 [cited 2022 Dec. 3];8(1):e11. Available from: https://publications.eai.eu/index.php/casa/article/view/2731