A Composition of Fuzzy Sets

• Autorzy: Vitaly I. Levin
• Języki publikacji: EN

Abstrakty

EN

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)

Słowa kluczowe

EN

Fuzzy sets; Uncertainty; Fuzzy logic

PL

Zbiory rozmyte; Niepewność; Logika rozmyta

• Czasopismo: Studia Humana
• Rocznik: 2015
• Tom: 4(4)
• Strony: 39--46

Twórcy

autor

Vitaly I. Levin

• 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].

Identyfikatory

DOI

10.1515/sh-2015-0024