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== Bibliography == * {{cite journal |doi=10.1155/2012/350603 |title=Fuzzy Soft Multiset Theory |date=2012 |last1=Alkhazaleh |first1=Shawkat |last2=Salleh |first2=Abdul Razak |journal=Abstract and Applied Analysis |doi-access=free }} * [[Krassimir Atanassov|Atanassov, K. T.]] (1983) [http://www.biomed.bas.bg/bioautomation/2016/vol_20.s1/files/20.s1_02.pdf Intuitionistic fuzzy sets], VII ITKR's Session, Sofia (deposited in Central Sci.-Technical Library of Bulg. 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Some applications in image processing |date=2014 |last1=Chamorro-Martínez |first1=J. |last2=Sánchez |first2=D. |last3=Soto-Hidalgo |first3=J.M. |last4=Martínez-Jiménez |first4=P.M. |journal=Fuzzy Sets and Systems |volume=257 |pages=85–101 }} * Chapin, E.W. (1974) Set-valued Set Theory, I, Notre Dame J. Formal Logic, v. 15, pp. 619–634 * Chapin, E.W. (1975) Set-valued Set Theory, II, Notre Dame J. 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Prade|title=Fundamentals of fuzzy sets|year=2000|publisher=Springer|isbn=978-0-7923-7732-0|series=The Handbooks of Fuzzy Sets Series|volume=7}} * {{cite book |doi=10.1109/IWISA.2009.5072885 |chapter=Generalized Rough Fuzzy Sets Based on Soft Sets |title=2009 International Workshop on Intelligent Systems and Applications |date=2009 |last1=Feng |first1=Feng |pages=1–4 |isbn=978-1-4244-3893-8 }} * Gentilhomme, Y. (1968) Les ensembles flous en linguistique, Cahiers de Linguistique Théorique et Appliquée, 5, pp. 47–63 * {{cite journal |doi=10.1016/0022-247X(67)90189-8 |title=L-fuzzy sets |date=1967 |last1=Goguen |first1=J.A |journal=Journal of Mathematical Analysis and Applications |volume=18 |pages=145–174 }} * {{Cite journal|last1=Gottwald|first1=S.|title=Universes of Fuzzy Sets and Axiomatizations of Fuzzy Set Theory. Part I: Model-Based and Axiomatic Approaches|doi=10.1007/s11225-006-7197-8|journal=Studia Logica|volume=82|issue=2|pages=211–244|year=2006|s2cid=11931230}}. {{Cite journal|last1=Gottwald|first1=S.|doi=10.1007/s11225-006-9001-1|title=Universes of Fuzzy Sets and Axiomatizations of Fuzzy Set Theory. Part II: Category Theoretic Approaches|journal=Studia Logica|volume=84|pages=23–50|year=2006|s2cid=10453751}} [https://web.archive.org/web/20120930203747/http://www.uni-leipzig.de/~logik/gottwald/SL-univers2b.pdf preprint].. * Grattan-Guinness, I. (1975) Fuzzy membership mapped onto interval and many-valued quantities. Z. Math. Logik. Grundladen Math. 22, pp. 149–160. * Grzymala-Busse, J. Learning from examples based on rough multisets, in Proceedings of the 2nd International Symposium on Methodologies for Intelligent Systems, Charlotte, NC, USA, 1987, pp. 325–332 * Gylys, R. P. (1994) Quantal sets and sheaves over quantales, Liet. Matem. Rink., v. 34, No. 1, pp. 9–31. * {{cite book|editor=Ulrich Höhle, Stephen Ernest Rodabaugh|title=Mathematics of fuzzy sets: logic, topology, and measure theory|year=1999|publisher=Springer|isbn=978-0-7923-8388-8|series=The Handbooks of Fuzzy Sets Series|volume=3}} * {{cite journal |doi=10.1002/MANA.19750680109 |title=Intervall-wertige Mengen |date=1975 |last1=Jahn |first1=K.-U. |journal=Mathematische Nachrichten |volume=68 |pages=115–132 }} * [[Kaufmann, Arnold]]. ''Introduction to the theory of fuzzy subsets.'' Vol. 2. Academic Press, 1975. * {{Cite book|last=Kerre|first=E.E.|chapter=A First View on the Alternatives of Fuzzy Set Theory |title=Computational Intelligence in Theory and Practice|editor1=B. Reusch|editor2=K-H. Temme|publisher=Physica-Verlag|location=Heidelberg|isbn=978-3-7908-1357-9|date=2001|pages=55–72|doi=10.1007/978-3-7908-1831-4_4}} * {{cite book|author1=George J. Klir|author2=Bo Yuan|title=Fuzzy sets and fuzzy logic: theory and applications|year=1995|publisher=Prentice Hall|isbn=978-0-13-101171-7}} * {{cite news|last=Kuzmin|first=V.B.|title=Building Group Decisions in Spaces of Strict and Fuzzy Binary Relations|location=Nauka, Moscow|date=1982|language=ru}} * {{cite journal |doi=10.1112/jlms/s2-12.3.323 |title=Sets, Fuzzy Sets, Multisets and Functions |date=1976 |last1=Lake |first1=John |journal=Journal of the London Mathematical Society |issue=3 |pages=323–326 }} * {{cite journal |doi=10.1016/j.camwa.2011.10.049 |title=Soft rough fuzzy sets and soft fuzzy rough sets |date=2011 |last1=Meng |first1=Dan |last2=Zhang |first2=Xiaohong |last3=Qin |first3=Keyun |journal=Computers & Mathematics with Applications |volume=62 |issue=12 |pages=4635–4645 }} * {{cite book |doi=10.1007/3-540-45523-X_11 |chapter=Fuzzy Multisets and Their Generalizations |title=Multiset Processing |series=Lecture Notes in Computer Science |date=2001 |last1=Miyamoto |first1=Sadaaki |volume=2235 |pages=225–235 |isbn=978-3-540-43063-6 }} * {{cite journal |doi=10.1016/S0898-1221(99)00056-5 |title=Soft set theory—First results |date=1999 |last1=Molodtsov |first1=D. |journal=Computers & Mathematics with Applications |volume=37 |issue=4–5 |pages=19–31 }} * Moore, R.E. Interval Analysis, New York, Prentice-Hall, 1966 * Nakamura, A. (1988) Fuzzy rough sets, 'Notes on Multiple-valued Logic in Japan', v. 9, pp. 1–8 * Narinyani, A.S. Underdetermined Sets – A new datatype for knowledge representation, Preprint 232, Project VOSTOK, issue 4, Novosibirsk, Computing Center, USSR Academy of Sciences, 1980 * {{cite journal |doi=10.1109/3477.658584 |title=Shadowed sets: Representing and processing fuzzy sets |date=1998 |last1=Pedrycz |first1=W. |journal=IEEE Transactions on Systems, Man and Cybernetics, Part B (Cybernetics) |volume=28 |issue=1 |pages=103–109 |pmid=18255928 }} * {{cite journal |doi= 10.1080/01969727708927558|title= Level Fuzzy Sets|date= 1977|last1= Radecki|first1= Tadeusz|journal= Journal of Cybernetics|volume= 7|issue= 3–4|pages= 189–198}} * {{cite book |doi=10.1007/978-3-540-24844-6_78 |chapter=On L–Fuzzy Rough Sets |title=Artificial Intelligence and Soft Computing - ICAISC 2004 |series=Lecture Notes in Computer Science |date=2004 |last1=Radzikowska |first1=Anna Maria |last2=Kerre |first2=Etienne E. |volume=3070 |pages=526–531 |isbn=978-3-540-22123-4 }} * {{cite journal|last=Salii|first=V.N.|date=1965|url=http://www.mathnet.ru/links/3c2c5808bf86871be61c7003d1efad97/ivm2487.pdf|title=Binary L-relations|journal=Izv. Vysh. Uchebn. Zaved. Matematika|volume=44|issue=1|pages=133–145|language=ru}} * Ramakrishnan, T.V., and Sabu Sebastian (2010) '[https://www.academia.edu/43280380/A_STUDY_ON_MULTI_FUZZY_SETS A study on multi-fuzzy sets]', Int. J. Appl. Math. 23, 713–721. * Sabu Sebastian and Ramakrishnan, T. V.(2010) '[https://www.researchgate.net/publication/344138751_Multi-_Fuzzy_Sets Multi-fuzzy sets]', Int. Math. Forum 50, 2471–2476. * {{cite journal |doi=10.1007/s12543-011-0064-y |title=Multi-fuzzy Sets: An Extension of Fuzzy Sets |date=2011 |last1=Sebastian |first1=Sabu |last2=Ramakrishnan |first2=T.V. |journal=Fuzzy Information and Engineering |volume=3 |pages=35–43 |doi-access=free }} * {{cite journal |doi=10.1142/S1793536911000714 |title=Multi-Fuzzy Extensions of Functions |date=2011 |last1=Sebastian |first1=Sabu |last2=Ramakrishnan |first2=T. V. |journal=Advances in Adaptive Data Analysis |volume=03 |issue=3 |pages=339–350 }} * Sabu Sebastian and Ramakrishnan, T. V.(2011) [https://www.researchgate.net/publication/338571655_Multi-fuzzy_extension_of_crisp_functions_using_bridge_functions Multi-fuzzy extension of crisp functions using bridge functions], Ann. Fuzzy Math. Inform. 2 (1), 1–8 * Sambuc, R. Fonctions φ-floues: Application à l'aide au diagnostic en pathologie thyroidienne, Ph.D. Thesis Univ. Marseille, France, 1975. * Seising, Rudolf: [https://books.google.com/books?id=rdYRdlM2dAQC&dq=%22The+Genesis+of+Fuzzy+Set+Theory+and+Its+Initial+Applications%E2%80%94Developments+up+to+the+1970s%22&pg=PA1 The Fuzzification of Systems. The Genesis of Fuzzy Set Theory and Its Initial Applications—Developments up to the 1970s] (Studies in Fuzziness and Soft Computing, Vol. 216) Berlin, New York, [et al.]: Springer 2007. * {{cite journal |doi=10.1023/B:LOGI.0000021717.26376.3f |title=Vagueness and Blurry Sets |date=2004 |last1=Smith |first1=Nicholas J. 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(Eds.), Kluwer Academic Publishers, Boston, pp. 301–321, 1997. * {{cite journal |doi=10.1016/S0020-0255(98)10023-3 |title=A comparative study of fuzzy sets and rough sets |date=1998 |last1=Yao |first1=Y. |journal=Information Sciences |volume=109 |issue=1–4 |pages=227–242 }} * {{cite journal |doi=10.1016/0020-0255(75)90036-5 |title=The concept of a linguistic variable and its application to approximate reasoning—I |date=1975 |last1=Zadeh |first1=L.A. |journal=Information Sciences |volume=8 |issue=3 |pages=199–249 }} * {{cite book|author=Hans-Jürgen Zimmermann|title=Fuzzy set theory—and its applications|year=2001|publisher=Kluwer|isbn=978-0-7923-7435-0|edition=4th}} {{refend}} {{Non-classical logic}} {{Set theory}} {{DEFAULTSORT:Fuzzy Set}} [[Category:Fuzzy logic]] [[Category:Systems of set theory]]
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