A fuzzy-algorithmic approach to the definition of complex or imprecise concepts

It may be argued, rather persuasively, that most of the concepts encountered in various domains of human knowledge are, in reality, much too complex to admit of simple or precise definition. This is true, for example, of the concepts of recession and utility in economics; schizophrenia and arthritis in medicine; stability and adaptivity in system theory; sparseness and stiffness in numerical analysis; grammaticality and meaning in linguistics; performance measurement and correctness in computer science; truth and causality in philosophy; intelligence and creativity in psychology; and obscenity and insanity in law.

[1]  M. Black Reasoning with Loose Concepts , 1963, Dialogue.

[2]  Carl G. Hempel,et al.  Fundamentals of Concept Formation in Empirical Science , 1952 .

[3]  Arthur Gill,et al.  Introduction to the theory of finite-state machines , 1962 .

[4]  Alonzo Church,et al.  A Formulation of the Logic of Sense and Denotation , 1952 .

[5]  A. R. Turquette,et al.  Logic, Semantics, Metamathematics , 1957 .

[6]  Robin Sibson,et al.  Choice of Methods for Automatic Classification , 1971, Comput. J..

[7]  Lotfi A. Zadeh,et al.  The Concepts of a Linguistic Variable and its Application to Approximate Reasoning , 1975 .

[8]  Abraham Kandel,et al.  On Minimization of Fuzzy Functions , 1973, IEEE Transactions on Computers.

[9]  Zvi Kohavi,et al.  Checking experiments for sequential machines , 1974, Inf. Sci..

[10]  A. N. Oppenheim Questionnaire Design and Attitude Measurement , 1966 .

[11]  George Lakoff,et al.  Hedges: A Study In Meaning Criteria And The Logic Of Fuzzy Concepts , 1973 .

[12]  Claude François Picard,et al.  Théorie des questionnaires , 1965 .

[13]  William S. Meisel,et al.  A Partitioning Algorithm with Application in Pattern Classification and the Optimization of Decision Trees , 1973, IEEE Transactions on Computers.

[14]  E. Polak,et al.  System Theory , 1963 .

[15]  Alan B. Marcovitz,et al.  An Introduction to Switching System Design , 1969 .

[16]  Lotfi A. Zadeh,et al.  Quantitative fuzzy semantics , 1971, Inf. Sci..

[17]  L. Zadeh A Fuzzy-Set-Theoretic Interpretation of Linguistic Hedges , 1972 .

[18]  Solomon L. Pollack,et al.  Decision Tables Theory and Practice , 1971 .

[19]  Taylor L. Booth,et al.  Sequential machines and automata theory , 1967 .

[20]  R. Carnap,et al.  INTERNATIONAL ENCYCLOPEDIA OF UNIFIED SCIENCE. , 1939, Science.

[21]  Donald S. Williams,et al.  Representation and Meaning. Experiments with information processing systems , 1972 .

[22]  Anthony N. Mucciardi,et al.  A Comparison of Seven Techniques for Choosing Subsets of Pattern Recognition Properties , 1971, IEEE Transactions on Computers.

[23]  Edward J. McCluskey,et al.  Introduction to the theory of switching circuits , 1965 .

[24]  Peter Wegner,et al.  The Vienna Definition Language , 1972, CSUR.

[25]  Stanley M. Selkow Diagnostic Keys as a Representation for Context in Pattern Recognition , 1974, IEEE Transactions on Computers.

[26]  C. H. CHEN,et al.  Theoretical Comparison of a Class of Feature Selection Criteria in Pattern Recognition , 1971, IEEE Transactions on Computers.

[27]  John M. Vickers,et al.  Intension and decision , 1963 .

[28]  Michael Scriven,et al.  Definitions, explanations, and theories , 1958 .

[29]  Richard C. T. Lee,et al.  Application of game tree searching techniques to sequential pattern recognition , 1971, CACM.

[30]  Alfred V. Aho,et al.  The Theory of Parsing, Translation, and Compiling , 1972 .

[31]  Willard Van Orman Quine,et al.  From a Logical Point of View , 1955 .

[32]  Zoltan Domotor,et al.  Probabilistic relational structures and their applications , 1969 .

[33]  R. Sokal,et al.  Principles of numerical taxonomy , 1965 .

[34]  George J. Klír,et al.  Synthesis of Switching Circuits , 1968 .

[35]  Lotfi A. Zadeh,et al.  The concept of a linguistic variable and its application to approximate reasoning-III , 1975, Inf. Sci..

[36]  Michael Montalbano Tables, Flow Charts and Program Logic , 1962, IBM Syst. J..

[37]  Lotfi A. Zadeh,et al.  Outline of a New Approach to the Analysis of Complex Systems and Decision Processes , 1973, IEEE Trans. Syst. Man Cybern..

[38]  Marvin Minsky,et al.  Semantic Information Processing , 1968 .

[39]  Lewis T. Reinwald,et al.  Conversion of Limited-Entry Decision Tables to Optimal Computer Programs I: Minimum Average Processing Time , 1966, JACM.

[40]  Patrick Suppes,et al.  Approaches to Natural Language , 1973 .

[41]  R. Bellman,et al.  Abstraction and pattern classification , 1996 .

[42]  Rudolf Carnap,et al.  Meaning and Necessity , 1947 .

[43]  King-Sun Fu,et al.  Syntactic Methods in Pattern Recognition , 1974, IEEE Transactions on Systems, Man, and Cybernetics.

[44]  井上 謙蔵 A.V.Aho,J.D.Ullman 著, 『The Theory of Parsing,Translation,and Compiling』Volume I,II., B5版, 上下 10202P, 1972年(上)1973年(下), Prentice Hall , 1976 .

[45]  Lewis T. Reinwald,et al.  Conversion of Limited-Entry Decision Tables to Optimal Computer Programs II: minimum storage requirement , 1967, JACM.

[46]  Satosi Watanabe,et al.  Methodologies of Pattern Recognition , 1969 .