Abstract
The concepts of the Intuitionistic Fuzzy Sets (IFSs), Temporal IFSs, Intuitionistic Fuzzy Graphs (IFGs), Intuitionistic Fuzzy Relations (IFRs), Temporal IFG (TIFG), and Index Matrices are discussed, and the concept of Temporal 1FR (TIFR) will be introduced. The latest relation here will be defined on a finite universe.
Keywords
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Atanassov K. Intuitionistic fuzzy relations. Third Int. Symp. “Automation and Sci. Instrumentation”, Varna, Oct. 1984, Proc. part II, 56–57.
Atanassov K., Generalized index matrices, Comptes rendus de l ’ Academie Bulgare des Sciences, Vol. 40, 1987, No. 11, 15–18.
Atanassov K. One variant of the intuitionistic fuzzy relations, First Sci. Session of the “Mathematical Fundation of Artificial Intelligence” Seminar, Sofia, October 10, 1989, Preprint IM-MFAIS-7–89, 1–3.
Atanassov K. Temporal intuitionistic fuzzy sets. Comptes Rendus de l’Academie bulgare des Sciences, Tome 44, 1991, No. 7, 5–7.
] Atanassov K., Index matrix representation of the intuitionistic fuzzy graphs, Fifth Sci. Session of the “Mathematical Foundation of Artificial Intelligence” Seminar, Sofia, Oct. 5, 1994, Preprint MRL-MFAIS-10–94, Sofia, 1994, 36–41
Atanassov K., On intuitionistic fuzzy graphs and intuitionistic fuzzy relations, Proc. of the VI IFSA World Congress, Sao Paulo, Brazil, July 1995, Vol. 1, 551–554.
Atanassov K., Temporal intuitionistic fuzzy graphs, Notes on Intuitionistic Fuzzy Sets, Vol. 4 (1998), No. 4, 59–61.
Atanassov K. Intuitionistic fuzzy sets, Springer-Verlag, Heidelberg, 1999.
Atanassov K., Burillo P., Bustince H., On the intuitionistic fuzzy relations, Notes on Intuitionistic Fuzzy Sets, Vol. 1 (1995), No. 2, 87–92.
Biswas R., Intuitionistic fuzzy relations, BUSEFAL, Vol. 70, 1997, 22–29.
Buhaescu, T. Some observations on intuitionistic fuzzy rerelations. Itinerant Seminar on Functional Equations, Approximation and Convexity, Cluj-Napoca, 1989, 111–118.
Bustince Sola H., Conjuntos Intuicionistas e Intervalo-valorados Difusos: Propiedades y Construccion. Relaciones Intuicionistas y Estructuras, Ph.D., Univ. Publica de Navarra, Pamplona, 1994.
Burillo Lopez P., Bustince Sola H., Entropy on intuitionistic fuzzy sets and on interval-values fuzzy sets, Fuzzy Sets and Systems, Vol. 78 (1996), No. 3, 305–316.
Burillo P., Bustince H., Intuitionistic fuzzy relations. Part I, Mathware and Soft Computing, Vol. 2 (1995), No 1, 5–38.
Burillo P., Bustince H., Intuitionistic fuzzy relations. Part II, Mathware and Soft Computing, Vol. 2 (1995), No 2, 117–148.
Gromoll D., Klingenberg W., Meyer W., Riemannsche Geometrie im Grossen, Springer-Verlag, Berlin, 1968.
Shannon A., Atanassov K., A first step to a theory of the intuitionistic fuzzy graphs, Proc. of the First Workshop on Fuzzy Based Expert Systems (D. Lakov, Ed.), Sofia, Sept. 28–30, 1994, 59–61.
Stoyanova D. Algebraic structures of intuitionistic fuzzy sets, Third Sci. Session of the “Mathematical Foundation of Artificial Intelligence” Seminar, Sofia, June 12, 1990, Preprint IM-MFAIS-2–90, Part 1, 19–21.
Stoyanova D., Compositions of intuitionistic fuzzy relations, BUSEFAL Vol. 54, 1993, 21–23.
Sulanke R., Wintgen P., Differentialgeometrie und Faserbtndel, VEB Deutscher Verlag der Wissenschaften, Berlin, 1972.
Szmidt E., Applications of the Intuitionistic Fuzzy Sets in Decision Making, DSc. dissertation, Sofia, 2000.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Atanassov, K.T. (2001). Temporal Intuitionistic Fuzzy Relations. In: Larsen, H.L., Andreasen, T., Christiansen, H., Kacprzyk, J., Zadrożny, S. (eds) Flexible Query Answering Systems. Advances in Soft Computing, vol 7. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1834-5_14
Download citation
DOI: https://doi.org/10.1007/978-3-7908-1834-5_14
Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-7908-1347-0
Online ISBN: 978-3-7908-1834-5
eBook Packages: Springer Book Archive