Abstract
In this paper, a brief overview of fundamental concepts of the formal fuzzy logic are presented and some of its applications are pointed out.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Black, M. (1937): Vagueness: An Exercise in Logical Analysis, Philosophy of Science 4, 427–455. Reprinted in Int. J. of General Systems 17 (1990), 107–128.
Chang, C. C. (1958): Algebraic analysis of many valued logics, Trans. AMS, 93, 74–80.
Cignoli, R., Esteva, F., Godo, L. and A. Torrens (2000): Basic Fuzzy Logic is the logic of continuous t-norms and their residua. Soft Computing 4, 106–112.
Gottwald, S. (2001): A Treatise on Many-Valued Logics. Research Studies Press Ltd., Baldock, Herfordshire, UK.
Hajek, P. (1998): Metamathematics of fuzzy logic. Kluwer, Dordrecht.
Klement, E. P., Mesiar, R. and E. Pap (2000), Triangular Norms — Basic Properties and Representation Theorems. In [11], 63–81.
Mundici, D., Cignoli, R. and D’Ottaviano, I.M.L. (2000): Algebraic foundations of many-valued Reasoning, Kluwer, Dordrecht.
Novak, V. (1992): The Alternative Mathematical Model of Linguistic Semantics and Pragmatics. Plenum, New York.
Novak, V. (2001): Antonyms and Linguistic Quantifiers in Fuzzy Logic. Fuzzy Sets and Systems 124, 335–351.
Novak, V.: Joint consistency of fuzzy theories. Mathematical Logic Quaterly (to appear).
Novak, V. and I. Perfilieva (Eds.)(2000): Discovering World With Fuzzy Logic. Springer-Verlag, Heidelberg, (Studies in Fuzziness and Soft Computing, Vol. 57)
Novak, V., Perfilieva I. and J. Mockor’ (1999): Mathematical Principles of Fuzzy Logic. Kluwer, Boston.
Novak, V. and I. Perfilieva (1999): Evaluating Linguistic Expressions and Functional Fuzzy Theories in Fuzzy Logic. In: L. A. Zadeh and J. Kacprzyk (eds.): Computing with Words in Information/Intelligent Systems 1. Springer-Verlag, Heidelberg, 383–406.
Perfilieva, I. (2001): Normal Forms for Fuzzy Logic Functions and Their Approximation Ability. Fuzzy Sets and Systems 124, 371–384.
Perfilieva, I. (2001): Neural Nets and Normal Forms from Fuzzy Logic Point of View. Neural Network World 6, 627–638.
Shoenfield, J. R. (1967): Mathematical Logic. New York: Addison-Wesley.
Zadeh, L.A. (1975): The concept of a linguistic variable and its application to approximate reasoning I, II, III, Inf. Sci., 8, 199–257, 301–357; 9, 43–80.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Novák, V. (2003). Formal Fuzzy Logic and Its Use in Modeling of Vagueness and Computing with Words. In: Rutkowski, L., Kacprzyk, J. (eds) Neural Networks and Soft Computing. Advances in Soft Computing, vol 19. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1902-1_9
Download citation
DOI: https://doi.org/10.1007/978-3-7908-1902-1_9
Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-7908-0005-0
Online ISBN: 978-3-7908-1902-1
eBook Packages: Springer Book Archive