×

Generalized fuzzy matrices. (English) Zbl 0451.20055


MSC:

20M20 Semigroups of transformations, relations, partitions, etc.
15B48 Positive matrices and their generalizations; cones of matrices
15A03 Vector spaces, linear dependence, rank, lineability
15A09 Theory of matrix inversion and generalized inverses
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Birkhoff, G., Lattice Theory (1967), Amer. Math. Soc: Amer. Math. Soc Providence, RI · Zbl 0126.03801
[2] Clifford, A. H.; Preston, G. B., (The Algebraic Theory of Semigroups, Vol. 1 (1961), Amer. Math. Soc: Amer. Math. Soc Providence, RI) · Zbl 0111.03403
[3] Gaines, B. R.; Kohout, L. J., The logic of automata, Int. J. General Systems, 2, 191-208 (1975) · Zbl 0327.94056
[4] Kaufmann, A., Introduction to the theory of fuzzy subsets (1965), Academic Press: Academic Press New York
[5] Kim, J. B., A certain matrix semigroup, Math. Japonica, 22, 519-522 (1978) · Zbl 0383.22003
[6] J.B. Kim, On circulant fuzzy matrices, Math. Japonica, submitted.; J.B. Kim, On circulant fuzzy matrices, Math. Japonica, submitted. · Zbl 0432.20055
[7] J.B. Kim, Note on the semigroup of fuzzy matrices, Acta Math. Hungarica, submitted.; J.B. Kim, Note on the semigroup of fuzzy matrices, Acta Math. Hungarica, submitted. · Zbl 0417.20057
[8] J.B. Kim On the semigroup of the circulant fuzzy matrices, J. Linear Alg. Appl., to appear.; J.B. Kim On the semigroup of the circulant fuzzy matrices, J. Linear Alg. Appl., to appear.
[9] Kim, K. H.; Roush, F. W., Inverse of Boolean matrices, J. Linear Alg. Appl., 22, 247-262 (1978) · Zbl 0387.15004
[10] Markowsky, G., Bounds on the index and period of a binary relation on a finite set, Semigroup Forum, 13, 253-259 (1977) · Zbl 0353.20055
[11] Negoita, C. V.; Ralescu, D. A., Applications of fuzzy sets to systems analysis (1975), Wiley: Wiley New York · Zbl 0326.94002
[12] Plemmons, R. J., Regular nonnegative matrices, (Technical Report, Centre de Recherches Math. (1972), Université de Montreal) · Zbl 0242.15002
[13] Prasada Rao, S. S.S. N., Generalized inverses of special types of matrices, (Dissertation (1974), Indian Statist. Inst: Indian Statist. Inst Calcutta, India)
[14] Schein, B. M., Regular elements of the semigroup of all binary relations, Semigroup Forum, 13, 95-102 (1976) · Zbl 0355.20058
[15] Schwarz, Š., On the semigroup of binary relations on a finite set, Czech. Math. J., 20, 632-679 (1970) · Zbl 0228.20034
[16] Thomason, M. G., Convergence of powers of a fuzzy matrix, J. Math. Anal. Appl., 57, 476-480 (1977) · Zbl 0345.15007
[17] Wechler, W., \(R\)-fuzzy grammars, (Bečvář, J., Mathematical Foundations of Computer Science. Mathematical Foundations of Computer Science, Lecture Notes in Computer Science, Vol. 32 (1975), Springer: Springer Berlin), 450-456
[18] Wechler, W., Zur allgemeinerung des Theorems von Kleene-Schutzenberger auf zeitvariable automaten, J. Elektron. Informat. u. Kybernet, 11, 439-445 (1975) · Zbl 0341.94031
[19] Zadeh, L. A., Fuzzy sets, Information and Control, 8, 338-353 (1965) · Zbl 0139.24606
[20] Zadeh, L. A., Similarity relations and fuzzy orderings, Information Sci., 3, 177-200 (1971) · Zbl 0218.02058
[21] Zadeh, L. A.; Fu, K.-S.; Tanaka, K.; Shimura, M., Fuzzy sets and their application to cognitive and decision processes, ((1975), Academic Press: Academic Press New York)
[22] Zaretskii, K. A., Regular elements in the semigroup of binary relations, Uspekhi Mat. Nauk., 17, 105-108 (1962), In Russian
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.