Solution of the Problem Concerning a Conditional Extremum
under Fuzzy Constraints

V. A. Smagin

Mozhaisky Military Space Engineering Academy, ul. Krasny Kursant 16, Saint Petersburg, 197082 Russia

E-mail: va_smagin@mail.ru

Received January 14, 2011

Abstract—The solution of the conditional extremum problem by Lagrange’s method of undetermined
coefficients under fuzzy constraints on the expenditure function was proposed. The problem is solved
by using a special example of the availability maximization of a double-link communication system. A
disadvantage of the solution is pointed out, and problems for further study are stated.

Keywords: conditional extremum, Lagrange coefficient, fuzzy set, membership function, constraint.

DOI: 10.3103/S0146411611020076

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