Epistemological aspects of many-valued logics and fuzzy structures

The aim of this paper is to analyze the epistemological and ontological status of some basic notions of logic that correspond to the essential intuitions of logicians that may contain important necessary concepts, without which the field would lose its character and justification for its autonomy. In this analysis we pay particular attention to the epistemology and ontology of fuzzy systems and their link with many-valued logics.

[1]  W. Bandler,et al.  How the checklist paradigm elucidates the semantics of fuzzy inference , 1992, [1992 Proceedings] IEEE International Conference on Fuzzy Systems.

[2]  Didier Dubois,et al.  Fuzzy sets and systems ' . Theory and applications , 2007 .

[3]  L. J. Kohout,et al.  Knowledge Representation in Medicine and Clinical Behavioural Science , 1986 .

[4]  Willard Van Orman Quine,et al.  Philosophy of Logic. , 1988 .

[5]  Ladislav J. Kohout,et al.  ON THE GENERAL THEORY OF RELATIONALMORPHISMS , 1986 .

[6]  N. Rescher Many Valued Logic , 1969 .

[7]  C. I. Lewis,et al.  The Semantic Conception of Truth and the Foundations of Semantics , 1944 .

[8]  M. Roubens,et al.  Fuzzy logic : state of the art , 1993 .

[9]  L. N. Stout,et al.  Foundations of fuzzy sets , 1991 .

[10]  L. Kohout,et al.  Fuzzy Relational Products in Knowledge Engineering , 1992 .

[11]  Chen C. Chang,et al.  Model Theory: Third Edition (Dover Books On Mathematics) By C.C. Chang;H. Jerome Keisler;Mathematics , 1966 .

[12]  Wyllis Bandler,et al.  Fuzzy Relational Products as a Tool for Analysis and Synthesis of the Behaviour of Complex Natural and Artificial Systems , 1980 .

[13]  V. Pinkava On a class of functionally complete multi-valued logical calculi , 1978 .

[14]  Ladislav J. Kohout,et al.  GENERALIZED TOPOLOGIES AND THEIR RELEVANCE TO GENERAL SYSTEM† Bibliography of Works of the č ech Topological School , 1975 .

[15]  L. Kohout Theories of possibility: meta-axiomatics and semantics , 1988 .

[16]  B. Gaines,et al.  THE LOGIC OF AUTOMATA , 1975 .

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

[18]  Peter F. Strawson,et al.  Introduction To Logical Theory , 1954 .

[19]  I. Turksen,et al.  Klein Groups in Fuzzy Inference , 1984, 1984 American Control Conference.

[20]  L. Kohout,et al.  Special properties, closures and interiors of crisp and fuzzy relations , 1988 .

[21]  J.M. McLean Applied general systems research: recent developments and trends , 1977 .

[22]  L. Kohout Quo vadis fuzzy systems : a critical evaluation of recent methodological trends , 1991 .

[23]  Wyllis Bandler,et al.  Some Esomathematical Uses of Category Theory , 1978 .

[24]  Yacov Y. Haimes,et al.  Systems and control encyclopedia : Edited by Madan G. Singh , 1988, Autom..

[25]  Ladislav J. Kohout,et al.  Generating Control Strategies for Resolution-Based Theorem Provers by Means of Fuzzy Triangle Products and Relational Closures , 1993 .

[26]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[27]  Ladislav J. Kohout,et al.  Semantics of implication operators and fuzzy relational products , 1980 .

[28]  C. V. Negoiţă,et al.  Fuzzy logic in knowledge engineering , 1986 .

[29]  Ladislav J. Kohout A perspective on intelligent systems: a framework for analysis and design , 1990 .

[30]  L. Zadeh Calculus of fuzzy restrictions , 1996 .

[31]  Peter Aczel,et al.  An Introduction to Inductive Definitions , 1977 .

[32]  Brian R. Gaines,et al.  Fuzzy reasoning and its applications , 1981 .

[33]  Madan M. Gupta,et al.  Approximate reasoning in expert systems , 1985 .

[34]  E. Hisdal The philosophical issues raised by fuzzy set theory , 1988 .

[35]  J. Fodor On fuzzy implication operators , 1991 .

[36]  A. Kandel Fuzzy Mathematical Techniques With Applications , 1986 .

[37]  George J. Klir,et al.  Fuzzy sets, uncertainty and information , 1988 .

[38]  Haskell B. Curry,et al.  Foundations of Mathematical Logic , 1964 .

[39]  L. Kohout,et al.  FUZZY POWER SETS AND FUZZY IMPLICATION OPERATORS , 1980 .

[40]  A. Grayling An introduction to philosophical logic , 1982 .