Towards Linguistic Fuzzy Topological Spaces Based on Hedge Algebra

Authors

DOI:

https://doi.org/10.4108/eetcasa.v8i1.2660

Keywords:

Fuzzy logic, Linguistic variable, Fuzzy topology, Linguistic topological space

Abstract

This paper studies on linguistic language which is generated from Hedge algebra. We indicate that the language satisfies properties of topology. Both linguistic topology and topological spaces are also studied in the paper.

References

C. L. Chang. Fuzzy topological spaces. Math. Anal, 24, 1968. DOI: https://doi.org/10.1016/0022-247X(68)90057-7

Michael Glykas. Fuzzy Cognitive Maps, Advances in Theory, Tools and Applications. Springer, 2010. DOI: https://doi.org/10.1007/978-3-642-03220-2

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. DOI: https://doi.org/10.1002/cpe.5711

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. DOI: https://doi.org/10.1016/0165-0114(90)90002-N

W. B. Vasantha Kandasamy and Florentin Smarandache K. Amal. Fuzzy linguistic topological spaces. Kindle Edition, 2012.

B. Kosko. Fuzzy cognitive mpas. Internation Journal of Man-Machine Studies, 24:65–75, 1986. DOI: https://doi.org/10.1016/S0020-7373(86)80040-2

L.A.Zadeh. Computing with words - Principal Concepts and Ideas. Studies in Fuzziness and Soft Computing. Springer, 2012. DOI: https://doi.org/10.1007/978-3-642-27473-2

John N. Mordeson and Sunil Mathew. Advanced Topics in Fuzzy Graph Theory. Springer Nature Switzeland AG, 2019. DOI: https://doi.org/10.1007/978-3-030-04215-8

Elpiniki I. Papageorgiou. Fuzzy Cognitive Maps for Applied Science and Engineering From Fundamentals to Extensions and Learning Algorithms. Springer-Verlag Berlin Heidelberg, 2014. DOI: https://doi.org/10.1007/978-3-642-39739-4

Lotti A. Zadeh and Janusz Kacprzyk. Computing with Word in Information Intelligent System 1. Springer-Verlag BBerlin Heidelberg GmbH, 1999. DOI: https://doi.org/10.1007/978-3-7908-1873-4

Downloads

Published

09-11-2022

How to Cite

1.
Han NV, Vinh PC. Towards Linguistic Fuzzy Topological Spaces Based on Hedge Algebra. EAI Endorsed Trans Context Aware Syst App [Internet]. 2022 Nov. 9 [cited 2024 Dec. 3];8(1):e12. Available from: https://publications.eai.eu/index.php/casa/article/view/2660

Most read articles by the same author(s)