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Vaclav Pinkava

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Dr Vclav Jaroslav Karel Pinkava, MPhil, PhD (Prague), AFBPsS, Chartered Psychologist, Hon. Research Fellow at King's College, London (*9.12.1926 Prague ~ 13.8.1995 Colchester) A psychologist by profession, he began in the 1960s to apply mathematical logics to model behavioural and psychological conditions, but finding binary logic suboptimal for the purpose, later turned to multi-valued logic. In this field, his major contribution is the invention of a functionally complete class of multiple valued logics, or algebras, which bear his name 'The Pi- (Pinkava) many valued logic systems', which have found application in subjects such as expert systems, protection structures, classification algorithms and as a basis for so called fuzzy logics. (cf the Encyclopedia of Optimization). In recognition of his contribution to the field of General Systems Theory he was awarded a posthumous Outstanding Scholarly Contribution Award from The International Institute for Advanced Studies in Systems Research and Cybernetics. An anti-communist, he emigrated to Britain with his wife and four children following the 1968 invasion of Czechoslovakia by the Soviet-led armies of the Warsaw pact. A polymath and polyglot, he worked as a Clinical Psychologist until his early retirement in 1982, when he turned to full-time prose and poetry writing, under his main pseudonym of Jan Kresadlo. His first novel Mrchopevci (GraveLarks) was published by Josef kvoreck's emigre publishing house '68 publishers, and obtained the 1984 Egon Hostovsk prize. For a reference selection of his scientific publications see http://www.kresadlo.cz/scipapers.htm

Publications by Vaclav Pinkava (bibliography)

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Pinkava, Vaclav (1981): Classification in Medical Diagnostics: On Some Limitations of Q-Analysis. In International Journal of Man-Machine Studies, 15 (2) pp. 221-237.

This paper gives a critical evaluation of Atkin's Q-Analysis in its application to problems of medical diagnosis. The basic procedure of Q-analysis is first explained in simple terms. Then the theory of classification by binary features is explained. It is done in a generally accessible way for the benefit of those likely to use the method for diagnostics. The main points are illustrated on a small Q-analysis on artificial data. It is shown that Q-analysis is not a suitable method for research in diagnostics.

© All rights reserved Pinkava and/or Academic Press

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Pinkava, Vaclav (1977): On the Nature of Some Logical Paradoxes. In International Journal of Man-Machine Studies, 9 (4) pp. 383-398.

The paper makes explicit the nature of some logical paradoxes by representing them in the form of logical nets, or simple finite automata expressed in the structural language as logical nets, both binary and non-classic multivalued ones. In this representation the structure of the problems turning eventually into paradoxes is expressed by the structure of the respective logical nets and the course of reasoning about the problems by the behaviour of these nets. All the nets in question have memory, this standing for the fact that they depend on self-reference. It is shown, however, that this is not the only sufficient and necessary condition for a problem of this class to turn into a paradox.

© All rights reserved Pinkava and/or Academic Press

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Pinkava, Vaclav (1976): "Fuzzification" of Binary and Finite Multivalued Logical Calculi. In International Journal of Man-Machine Studies, 8 (6) pp. 717-730.

It is shown that fuzzification of binary logics results in multivalued logics with an infinite or finite number of values. Canonic formulae in fuzzified binary logics are discussed using some previous results of the author. The case of "hybrid" logics where either the variables or the functions run through different sets of values in discussed briefly. It is shown that the generalized connectives suggested by the author are suitable for forming functionally complete systems in these hybrid logics. Further fuzzification of finite multivalued calculi is discussed briefly. It is shown that a "fuzzified" multiple-value logical function turns into an n-tuple of functions. A few simple illustrative examples are given.

© All rights reserved Pinkava and/or Academic Press

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