Bifuzzy sets and other generalizations of a fuzzy set

• Autorzy: Mańko Jacek

Identyfikatory

DOI

10.14708/ma.v23i37.1826

Warianty tytułu

PL

O zbiorach dwoistorozmytych i innych uogólnieniach zbioru rozmytego

• Języki publikacji: EN

Abstrakty

EN

The article presents the new concept of a fuzzy set, namely bifuzzy set. In original papers [2]-[15] it is used the name „intuitionistic fuzzy set" but it is not really adequate. We describe the idea of such a set and basic definitions and theorems of bifuzzy set theory. At last we present some other concepts describing fuzzy objects and give a rich literature to them.

Słowa kluczowe

EN

fuzzy set theory

PL

zbiór dwoistorozmyty; zbiory rozmyte

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Matematyka Stosowana : matematyka dla społeczeństwa
• Rocznik: 1994
• Tom: Nr 37
• Strony: 39--47
• Opis fizyczny: Bibliogr. 37 poz.

Twórcy

autor

Mańko Jacek

• Instytut Matematyki, Uniwersytet Łódzki, ul. Banacha 22, 90-238 Łódź

Bibliografia

• [1] R. Antoniewicz i W. Ostasiewicz, Koncepcja rozmytego rachunku prawdopodobieństwa. Badania operacyjne w praktyce gospodarczej (materiały konferencyjne - Maków, 1981), Akademia Ekonomiczna, Katowice 1982, 5-12.
• [2] K. Atanassov, Intuitionistic fuzzy sets, VII ITKR’S Scientific Session, Sofia, June 1983.
• [3] K. Atanassov i S. Stoeva, Intuitionistic fuzzy sets, Proc. Polish Symposium on Interval and Fuzzy Mathematics in Poznań in 1983, Instytut Matematyki Politechniki Poznańskiej, Poznań 1985, 23-26.
• [4] K. Atanassov, Intuitionistic fuzzy relations, w: L. Antonov, Ed., III International School „Automation and Scientific Instrumentation”, Varna 1984, 56-57.
• [5] K. Atanassov, Intuitionistic fuzzy sets, FSS 20, 1986, 87-96.
• [6] K. Atanassov i S. Stoeva, Intuitionistic L-fuzzy sets, w: R. Trappl., Ed., Cybernetics and System Research 2, Elsevier Sci. Publ., Amsterdam 1984, 539-540.
• [7] K. Atanassov i S. Stoeva, Intuitionistic fuzzy programs, Proc. of the Second Polish Symp. on Interval and Fuzzy Mathematics in Poznań in 1985, Instytut Matematyki Politechniki Poznańskiej, Poznań 1987, 13-16.
• [8] K. Atanassov i G. Gargov, Interval valued intuitionistic fuzzy sets, FSS 31, 1989, 343-349.
• [9] K. Atanassov, More on intuitionistic fuzzy sets, FSS 33, 1989, 37-45.
• [10] K. Atanassov, Geometrical interpretation of the element of the intuitionistic fuzzy objects, IM-MFAIS-1-1989.
• [11] K. Atanassov, Two variants of intuitionistic modal logic, IM-MFAIS-3-1989.
• [12] K. Atanassov, Four new operators over intuitionistic fuzzy sets, IM-MFAIS 4 1989.
• [13] K. Atanassov, H. Georgiev, A. Drumev i I. Kozalarski, Intuitionistic fuzzy PROLOG, IM-MFAIS-5-1989.
• [14] K. Atanassov i G. Gargov, Intuitionistic fuzzy logic, Comptes Rendus de l’Academie Bulgare des Sciences, 43, 3, 1991, 9-12.
• [15] K. Atanassov i G. Gargov, Intuitionistic fuzzy logic-part II, wydawnictwo [14], 44, 7, 1991.
• [16] J. G. Brown, A note on fuzzy sets, Inform. Control 18, 1971, 32-39.
• [17] H. Diskhant, About membership function estimation, FSS 5, 1981, 141-147.
• [18] J. Drewniak, Podstawy teorii zbiorów rozmytych, skrypt Uniwersytetu Śląskiego, Katowice 1984.
• [19] D. Dubois i H. Prade, Twofold fuzzy sets, J. Fuzzy Math. (Chiny) 3/4, 1983, 53-76.
• [20] D. Dubois i H. Prade, Twofold fuzzy sets and rough sets - some issues in knowledge representation, FSS 23, 1987, 3-18.
• [21] T. Gerstenkorn i J. Mańko, Correlation of intuitionistic fuzzy sets, FSS 44, 1991, 39-43.
• [22] T. Gerstenkorn i J. Mańko, Probability of intuitionistic fuzzy sets, BUSEFAL 45, 1991, 128-136.
• [23] J. Goguen, L-fuzzy sets, J. Math. Anal. Appl. 18, 1967, 145-174.
• [24] M. Gorzałczany, A method of inference in approximate reasoning based on interval-valued fuzzy sets, FSS 21, 1987, 1-17.
• [25] K. Hirota, Concepts of probabilistic sets, Proc. IEEE Conf. Decision and Control 1977, 1361-1366.
• [26] U. Höhle i L. N. Stout, Foundations of fuzzy sets, FSS 40, 1991, 257-296.
• [27] J. Kacprzyk, Zbiory rozmyte w analizie systemowej, PWN, Warszawa 1986.
• [28] A. Kaufmann, Théorie des sous-ensembles flous, t. 1, Paris, Masson 1973.
• [29] J. Mańko, On measuring the fuzziness and the nonfuzziness of intuitionistic fuzzy sets. Acta Pannonica 4/2, 1993, 53-63.
• [30] J. Mańko, Prawdopodobieństwo, entropia i energia w teorii zbiorów dwoistorozmytych, rozprawa doktorska, Uniwersytet Łódzki, Łódź 1992.
• [31] Nineteenth Session of the National Seminar of Informatics of the Union of Bulgarian Mathematicians and Fourth Scientific Session of the Mathematical Foundations of Artificial Intelligence Seminar, Sofia, Nov. 1990, IM-MFAIS-5-1990.
• [32] Z. Pawlak, Rough sets-basis notions, Report N. 431, Institute of Computer Science, Polish Acad. of Sciences, Warsaw 1981.
• [33] Z. Pawlak, Rough sets and fuzzy sets, FSS 17, 1985, 99-102.
• [34] G. Shafer, A mathematical theory of evidence, Princeton University Press, Princeton New York 1976.
• [35] G. Takeutii, S. Titani, Intuitionistic fuzzy logic and intuitionistic fuzzy sets theory, Journ. of Symbolic Logic 49, 1984, 851-866.
• [36] L. A. Zadeh, Fuzzy sets, Inform. Control 8, 1965, 338-353.
• [37] L. A. Zadeh, The concept of a linguistic variable and its application to approximate reasoning - I, Inform. Sci. 8, 1975, 199-249.