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Binary operators and connective rules.

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Publication Date
1996
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IEEE
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Abstract
The main aim of this paper is to point out that a connective rule should be understood as a consistent family of connectives, in such a way that given any finite sequence of values we can evaluate its connective value. A connective rule is what we really need in practice, not a single connective operator. Only in some few cases we can characterize such a connective rule by means of a unique (associative) binary connective operator.
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Lógica simbólica y matemática (Matemáticas)
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1102.14 Lógica Simbólica
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V. Cutello and J. Montero P. P. Bonissone "Recursive families of OWA operators", Proceedings of the Third IEEE Conference on Fuzzy Systems, pp.1137 -1141 1994 V. Cutello and J. Montero "Hierarchical aggregation of OWA operators: basic measures and related computational problems", Uncertainty, Fuzziness and Knowledge-Based Systems, vol. 3, pp.17 -26 1995 V. Cutello and J. Montero B. Bouchon-Meunier , R. R. Yager and L. A. Zadeh Fuzzy Logic and Soft Computing, 1995 :World Scientific V. Cutello and J. Montero D. Ruan Fuzzy Sets Theory and Advanced Mathematical Applications, 1995 :Kluwer V. Cutello and J. Montero Recursive connective rules, J. Dombi "Basic concepts for a theory of evaluation: the aggregative operator", European Journal of Operational Research, vol. 10, pp.282 -293 1982 J. C. Fodor , J. L. Marichal and M. Roubens Characterization of the ordered weighted averaging operators, :Institut de Mathematique. G. J. Klir and T. A. Folger Fuzzy sets, Uncertainty and Information, 1988 :Prentice Hall J. Montero "Comprehensive fuzziness", Fuzzy Sets and Systems, vol. 20, pp.79 -86 1986 J. Montero "Extensive fuzziness", Fuzzy Sets and Systems, vol. 21, pp.201 -209 1987 R. R. Yager "On ordered weighted averaging aggregation operators in multi-criteria decision making", IEEE Transactions on Systems, Man and Cybernetics, vol. 18, pp.183 -190 1988 R. R. Yager "Families of OWA operators", Fuzzy Sets and Systems, vol. 59, pp.125 -148 1993 R. R. Yager "MAM and MOM operators for aggregation", Information Sciences, vol. 69, pp.259 -273 1993 R. R. Yager "Aggregation operators and fuzzy systems modeling", Fuzzy Sets and Systems, vol. 67, pp.129 -145 1994
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https://hdl.handle.net/20.500.14352/60887
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