Xref: utzoo comp.ai:6954 comp.realtime:679 Path: utzoo!utgpu!news-server.csri.toronto.edu!clyde.concordia.ca!uunet!samsung!zaphod.mps.ohio-state.edu!sunybcs!bingvaxu!cjoslyn From: cjoslyn@bingvaxu.CC.BINGHAMTON.EDU (Cliff Joslyn) Newsgroups: comp.ai,comp.realtime Subject: Re: Fuzzy Logic Introduction? Message-ID: <3563@bingvaxu.CC.BINGHAMTON.EDU> Date: 4 Jun 90 05:20:55 GMT References: <766@ssc.UUCP> <9006011604.AA22034@fsucs.cs.fsu.edu> Reply-To: cjoslyn@bingvaxu.cc.binghamton.edu.cc.binghamton.edu (Cliff Joslyn) Organization: SUNY Binghamton, NY Lines: 416 References to the fuzzy literature, FYI and edification. These are, of course, highly slanted towards my work and interests. However, I believe that the references to introductory and general works are representative. For beginners I'd reccommend Negoita 1981, Dubois + Prade 1980, Kandel 1986, Kandel + Lee 1979, and Klir + Folger 1987. O-------------------------------------------------------------------------> | Cliff Joslyn, Cybernetician at Large, cjoslyn@bingvaxu.cc.binghamton.edu | Systems Science, SUNY Binghamton, Box 1070, Binghamton NY 13901, USA V All the world is biscuit shaped. . . Journals: /Fuzzy Sets and Systems/ /J. of Approximate Reasoning/ Aubin, JP: "Fuzzy Games", in: /Systems and Control Encyclopedia/, pp. 1913-1917 Baldwin, JF: (1985) "Fuzzy Sets and Expert Systems", /Information Sciences/, v. 36 Bezdek, James C: ed. (1987) /Analysis of Fuzzy Information: Mathematics + Logic/, v. 1 of 3, CRC Press, Boca Raton Black, M: (1937) "Vagueness: An Exercise in Logical Analysis", /Philosophy of Science/, v. 4, pp. 427-455 Probably the best discussion of the meaning of vagueness and its importance in science and philosophy. Solid introduction of most fuzzy systems concepts. Bobylev, VN: (1990) "Possibilistic Argument for Irreversibility", /Fuzzy Sets + Systems/, v. 34, pp. 73-80 Buckley, JJ: (1986) "A Fuzzy Expert System", /Fuzzy Sets and Systems/, v. 20 Buckley, JJ, and Tucker, Douglas: (1987) "Extended Fuzzy Relations: Application to Fuzzy Exp. Sys", /Int. J. Approximate Reasoning/, v. 1, Butnariu, D: (1988) "Autonomous Evolutive Systems w/Ambiguous States", in: /Fuzzy Logic in Knowledge-Based Sys./, ed. MM Gupta et. al., pp. 229-246, North-Holland, Amsterdam Cao, Hong Xing: (1987) "Fuzzy Verification of Weather Forecasts + Climate Sim.", in: /Analysis of Fuzzy Information/, v. III, ed. James Bezdek, CRC Press, Boca Raton Comparison of fuzzy vs. other methods for evaluating the success of predictions of weather forecast models. Cavallo, Roger E, and Klir, George: (1982) "Reconstruction of Possibilistic Behavior Systems", /Fuzzy Sets and Systems/, v. 8 Chanas, : (1989) ""On possibilistic coin-flip"", /Fuzzy Sets and Systems/, NOTE: From John Simms Cheesman, P: "Probabilistic vs. Fuzzy Reasoning", in: /Uncertainty in Artificial Intell./, ed. LN Kanal, JF Lemmer, pp. 85-102, North-Holland, Amsterdam An anti-fuzzy position. Chen, Yung Yaw, and Tsu, Chin Tsao: (1989) "Description of the Dynamical Behavior of Fuzzy Systems", /IEEE Trans. on Sys., Man + Cyb./, v. 19:4, pp. 745-755 Cell-to-cell mapping to describe long-term behavior of fuzzy control system seen as a fuzzy dynamical system. Dal Cin, M: (1975) "Fuzzy-State Automata: Stability and Fault Tolerance", /Int. J. Computer and Info. Sci./, v. 4, pp. 63-80 (1975) "Modification Tolerance of Fuzzy-State Automata", /Int. J. Computer and Infor. Sci/, v. 4, pp. 81-93 De Luca, A, and Termini, S: (1972) "Def. of Nonprob. Ent. in Setting of Fuzzy Set Theory", /Information and Control/, v. 20, pp. 301-312 First definition of fuzzy entropy. Dubois, D: (1987) "Fuzzy Numbers: An Overview", in: /Analysis of Fuzzy Information/, v. 1 of 3, pp. 3-39, CRC Press, Boca Raton Dubois, D, and Prade, H: "Set Theoretic View Of. . .", /Int. J. Gen. Sys./, v. 12:3 Relation between fuzzy sets and measures. "A Class of Fuzzy Measures Based on Triangle Inequalitie", /Int. J. Gen. Sys./, v. 8 On relation between fuzzy sets and measures. (1980) /Fuzzy Sets and Systems: Theory and Applications/, Academic Press, New York First overview textbook of fuzzy theory. Highly recommended. Dubois, D, and Prade, Henri: (1983) "Unfair Coins + Necessity Measures", /Fuzzy Sets + Systmes/, v. 10, pp. 15-20 Towards a possibilistic interpretation of histograms. An interesting but ultimately poor method for probability to possibility conversion. Dubois, D, and Prade, : (1988) /Possibility Theory/, Plenum Press, New York Overview and text on fuzzy theory, possibility theory, and applications. Dutta, Amitava: (1985) "Reasoning with Imprecise Knowledge in Expert Systems", /Information Science/, v. 37 Forbes, : /Logic of Possibility/, NOTE: Suggestion from Klir Gaines, Brian R: (1983) "Precise Past - Fuzzy Future", /Int. J. Man-Machine Studies/, v. 19, pp. 117-134 Gaines, Brian R, and Kohout, Ladislav J: (1976) "Logic of Automata", /Int. J. Gen. Sys./, v. 2:4, pp. 191-208 Logical bases of all automata; Rescher's Probability Logic as the basis of fuzzy, stochastic, and non-deterministic automata; mixed discrete-continuous logical models; relations to modal logic; toplogical and algebraic models. Gaines, Brian R, and Shaw, M.L.: (1985) "Systemic Foundations for Reasoning in Expert Systems", in: /Approximate Reasoning in Exp. Sys./, ed. Gupta, M. et. al., North-Holland, Amsterdam On fuzzy and modal logics. Gaines, Brian R, and Shaw, MLG: (1985) "From Fuzzy Logic to Expert Systems", /Information Science/, v. 36 Good overview of methodology. Goodman, IR: "Fuzzy Sets as Equivalence Classes of Random Sets", in: /Fuzzy Sets and Possibility Theory/, ed. Yager Goodman, IR, and Nguyen, : (1986) /Uncertainty Models for Knowledge-Based Systems/, NOTE: Chapter 3++ Gordon, Jean, and Shortliffe, Edward: (1984) "Dempster-Shafer Theory of Evidence", in: /Rule Based Expert Systems/, ed. BruceBuchanan+E.Shor, Addison Wesley, Reading MA Gupta, MM, and Yamakawa, T: eds. (1988) /Fuzzy Logic in Knowledge-Based Systems/, North-Holland, Amsterdam eds. (1988) /Fuzzy Computing/, North-Holland, Amsterdam Haavind, Robert: ed. /Fuzzy Logic/, in: /PC Computing/, v. 9/89, pp. 147-149 Good survey of some applications of fuzzy control theory. Henkind, Steven J, and Harrison, Malcolm C: (1988) "Analysis of Four Uncertainty Calculi", /IEEE Trans. Man Sys. Cyb./, v. 18:5, pp. 700-714 On Bayesian, Dempster-Shafer, Fuzzy Set, and MYCIN methods of uncertainty management. Higashi, Masahiko, and Klir, George: (1982) "Measures of Unc. and Inf. Based on Poss. Distributions", /Int. J. Gen. Sys./, v. 9 First definition of U-uncertainty, the unique measure of possibilistic information. (1984) "Resolution of Finite Fuzzy Relation Equations", /Fuzzy Sets and Systems/, v. 13 (1984) "Reconstruction Families of Possibilistic Structure Sys.", /Fuzzy Sets and Systems/, v. 12 Hirota, Kaoru, and Kazuhiro, Ozawa: (1989) "Concept of the Fuzzy Flip-Flop", /IEEE Trans. on Sys., Man + Cyb./, v. 19:5, pp. 980-997 Theory and hardware implementations of fuzzy correlates to classical switching circuits. Hirota, Kaoru, and Zama, KO: (1989) "Fuzzy Flip-Flop and Fuzzy Registers", /Fuzzy Sets and Systems/, v. 32, pp. 139-148 Hisdal, E: (1978) "Conditional Possibilities Independence + Noninteraction", /Fuzzy Sets + Systems/, v. 1:4, pp. 283-297 First general treatment of conditional possibility. Hu, Xiang En: "Dynamic Fuzzy Sets", /Fuzzy Mathematics/, v. 5:4, pp. 95-104 Hummel, RA, and Manevitz, LM: (1987) "Combining Bodies of Dependent Information", in: /Proc. 1987 Int. Joint Conf. on AI/, pp. 1015-1017, NOTE: From Klir Joslyn, Cliff: /Artificial Approx. Reasoning: Fuzzy Theory in ExpertSys/, NOTE: For SS 517 Jumarie, Guy: (1983) "Entropy of Fuzzy Events Revisitted", /Cybernetica/, v. 26:2, pp. 99-116 (1987) "New Concepts in Information Theory", /Physica Scripta/, v. 35:2, pp. 220-224 Kandel, A: (1986) /Fuzzy Mathematical Techniques with Applications/, Addison-Wesley Kandel, A, and Lee, A: (1979) /Fuzzy Switching and Automata/, Crane Russak, New York Another very good text on fuzzy systems and processes. Kaufmann, A., and Gupta, M.M.: (1985) /Introduction to Fuzzy Arithmetic/, Reinhold, New York Klir, George: (1984) "Possibilistic Information Theory", in: /Cybernetics and Systems Research/, v. 2, ed. R. Trappl (1989) "Is There More to Uncert. than Some Prob. Theor. Believe", /Int. J. Gen. Sys./, v. 15, pp. 347-378 Presented to the 8th Maximum Entropy Workshop in Cambridge, Spring 1988. Critical arguments on relation between probability and general uncertainty theory. Excellent review of Dempster-Shafer theory. (1990) "Principle of Uncertainty Invariance", /J. Approximate Reasoning/, v. 17:2 Isomorphisms from possibilistic to stochastic systems preserving informational properties. Klir, George, and Behzad, Parviz: (1986) "Gen. Reconstruction Characteristics of Prob.+Poss. Sys.", /Int. J. Man-Machine Studies/, v. 25 Klir, George, and Folger, Tina: (1987) /Fuzzy Sets, Uncertainty, and Information/, Prentice Hall Primary, excellent text on fuzzy systems theory and extended information theory. Klir, George, and Mariano, M: (1987) "On Uniqueness of Poss. Measures of Uncertainty + Inf.", /Fuzzy Sets + Systems/, v. 24, pp. 197-219 Key proofs in possibilistic information theory. Kloeden, PE: (1982) "Fuzzy Dynamic Systems", /Fuzzy Sets and Systems/, v. 7, pp. 275-296 Mathematical development of fuzzy dynamical systems on crisp, complete, locally compat metric space. Fuzzy attainability, trajectories. Kosko, B: /"On fuzzy automata"/ ""On fuzzy vs. Prob"", /Information Sciences/ Kruse, R, and Meyer, KD: (1988) /Statistics with Vague Data/, Kluwer Lee, Newton S., and Grize, Yves L.: (1987) "Quant. Model for Reasoning Under Unc. in Know-Based ES", /Int. J. Intelligent Systems/, v. 2:15 Looney, Carl G: (1988) "Fuzzy Petri Nets for Rule-Based Decisionmaking", /IEEE Trans. on Sys., Man + Cyb./, v. 18:1, pp. 178-183 Negoita, CV: (1989) "Rev: Fuzzy Sets, Uncertainty, + Information by G. Klir", /Kybernetes/, v. 18:1, pp. 73-74 Good analysis of the significance of fuzzy set theory. Negoita, CV, and Ralescu, DA: (1975) /Applications of Fuzzy Sets to Systems Analysis/, Birkhauser, Stuttgart Negotia, CV: (1981) /Fuzzy Systems/, Abacus Press, Tunbridge-Wells Simple, coherent introduction to fuzzy systems theory. Nguyen, HT: (1978) "On Conditional Possibility Distributions", /Fuzzy Sets and Systems/, v. 1:4 Second definition of conditional possibility, contrary to Hisdal. Oh, Sang-Bong, and Kim, W. et. al.: (1990) "Approach to Causal Modeling in Fuzzy Environemnt + Appl", /Fuzzy Sets + Systems/, v. 35, pp. 43-55 Pedrycz, W: (1981) "On Approach to the Analysis of Fuzzy Systmes", /Int. J. of Control/, v. 34, pp. 403-421 Ramer, Arthur: (1989) "Conditional Possibility Measures", /Cybernetics and Systems/, v. 20, pp. 233-247 Later update of definitions of conditional possibility. (1990) "Axioms of Uncertainty Measures: Dependence + Indep.", /Fuzzy Sets + Systems/, v. 35, pp. 185-196 Roberts, DW: (1989) "Analysis of Forest Succession with Fuzzy Graph Theory", /Ecological Modeling/, v. 45, pp. 261-274 Ruspini, Enrique H: (1989) "Semantics of Vague Knowledge", /Rev. Int. de Systemique/, v. 3:4, pp. 387-420 Santos, E: (1968) "Maximin Automata", /Information Control/, v. 13, pp. 363-377 (1972) "On Reductions of Maximin Machines", /J. Math. Anal. Appl./, v. 40, pp. 60-78 Santos, E, and Wee, WG: (1968) "General Formulation of Sequential Machines", /Information Control/, v. 12, pp. 5-10 Shafer, Glen: (1976) /A Mathematical Theory of Evidence/, Princeton U., Princeton On the foundations of extended information theory, in particular extended probabilities, Dempster-Shafer evidential inference, and possibility theory. (1987) "Belief Functions and Possibility Measures", in: /Analysis of Fuzzy Information/, v. 1 of 3, pp. 51-85, CRC Press, Boca Raton Shahinpoor, M: (1982) "Mathematical Modelling of theFuture for Complex Systems", /Mathematical Modelling/, v. 3, pp. 153-160 Sims, John R, and Wang, Zhenyuan: (1990) "Fuzzy Measures and Fuzzy Integrals: An Overview", /Int. J. Gen. Sys./, v. to appear Smithson, Michael: (1988) /Ignorance and Uncertainty: Emerging Paradigms/, Springer-Verlag, New York Modern philosphical treatment, fuzzy. Strat, TM: (1984) "Continuous Belief Functions for Evidential Reasoning", in: /Proc. 1984 Am. Assoc. for AI/, pp. 308-313 Walley, P, and Fine, TL: (1979) "Varieties of Model (Classificatory) and Compar. Prob.", /Synthese/, v. 41, pp. 321-374 On fuzzy chance. Wang, G, and et. al., : (1989) "Dynamic Fuzzy Sets and Fuzzy Processes", in: /Proc. 3rd IFSA Conference/, pp. 276-279 Wang, Paul P, and Chang, SK: eds. (1980) /Fuzzy Sets/, Plenum, New York Wang, Zhenyuan: (1989) /Fuzzy Measure Theory/, NOTE: To be published Wechler, W: (1978) /Concept of Fuzziness in Automata and Language Theory/ Wee, WG, and Fu, KS: (1969) "Formulation of Fuzzy Aut.+Appl. as Model of Learn. Sys.", /IEEE Trans. Sys. Sci. Cyb./, v. 5, pp. 215-223 Whalen, Thomas, and Schott, Brian: (1985) "Alternative Logics for Approximate Reasoning in Exp.Sys", /Int. J. Man-Machine Studies/, v. 22 Wong, GA, and Shen, DWC: "On Learning Behavior of Fuzzy Automata", /Advances in Cyb. and Sys./, v. 2, pp. 885 Yen, John: (1989) "Gertis: Dempster-Shafer App. to Diagnosing Hier. Hyp.", /Comm. ACM/, v. 32:5, pp. 573-585 Zadeh, Lofti A: (1965) "Fuzzy Sets and Systems", in: /Systems Theory/, ed. J. Fox, pp. 29-37, Polytechnic Press, Brooklyn NY (1968) "Probability Measures of Fuzzy Events", /J. Math. Analysis + Applications/, v. 10, pp. 421-427 (1973) "Outline of a New Approach to Analysis of Complex Sys.", /IEEE Trans. on Sys., Man + Cyb./, v. 3 A motivation for using fuzziness in dealing with very complex systems is discussed in detail in terms of linguistic variables. (1975) /Fuzzy Sets + Appl. to Cognitive + Decision Processes/, Academic Press (1978) "Fuzzy Sets as the Basis for a Theory of Possibility", /Fuzzy Sets and Systems/, v. 1, pp. 3-28 Seminal paper on possibility theory. (1982) "Fuzzy Systems Theory: Framework for Anal. of Buer. Sys.", in: /Sys. Meth. in Social Science Res./, ed. RE Cavallo, pp. 25-41, Kluwer-Nijhoff, Boston (1985) "Role of Fuzzy Logic in Management of Unc. in Expert Sys", in: /Approximate Reasoning in Exp. Sys./, ed. MM Gupta et. al., U California, Berkeley (1989) "Knowledge Representation in Fuzzy Logic", /IEEE Trans. on Knowledge+ Data Eng./, v. 1:1, pp. 89-100 Review of fuzzy logic through linguistic variables. Zadeh, Lofti A.: ed. (1987) /Fuzzy Sets and Applications/, ed. Yager et. al., Wiley, New York Zwick, Martin: (1978) "Fuzziness and Catastrophe", in: /Proc. of the Int. Conf. of Cyb.+Soc/, pp. 1237-1241, Tokyo/Kyoto, NOTE: IEEE SMC Japan -- O-------------------------------------------------------------------------> | Cliff Joslyn, Cybernetician at Large, cjoslyn@bingvaxu.cc.binghamton.edu | Systems Science, SUNY Binghamton, Box 1070, Binghamton NY 13901, USA V All the world is biscuit shaped. . .