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Abstrakty
A new operation on fuzzy sets - the r-composition of n-sets - is introduced. The particular cases of this operation are logical conjunction (r = 1) or disjunction (r = n). In the general case (1 < r < n), this operation is purely fuzzy and has no analogs among the operations on fuzzy sets. The operation of r-composition is applied to the solution of control problems under uncertainty.(original abstract)
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autor
- Penza State Technological University, Russia
Bibliografia
- 1. Bellman, R.E., Zadeh, L.A., "Decision Making in Fuzzy Environment", Management Science, 4, Vol. 17, 1970.
- 2. Dubois, D., Prade, H., Fuzzy Sets and Systems: Theory and Applications, New York: Academic Press, 1980.
- 3. Zimmermann, H.J., Fuzzy Sets, Decision Making and Expert Systems, Kluwer Academic, 1986.
- 4. Yager, R.R., "Connectives and Quantifiers in Fuzzy Sets", Fuzzy Sets and Systems, Vol. 40, 1991.
- 5. Zadeh, L., The Concept of Linguistic Variable and Its Application to Approximate Reasoning, New York: Elsevier, 1973.
- 6. Levin, V.I., Structural-Logical Methods of Analysis of Complex Systems. Moscow: Nauka, 1987 [in Russian].
Typ dokumentu
Bibliografia
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bwmeta1.element.ekon-element-000171420074