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- T. Nguyen
- 1992

Wang and Mendel proved (1991) that fuzzy systems with product inference, cen-troid defuzziication, and everywhere positive membership functions (in particular, Gaus-sians, Wang, 1992) are capable of approximating any real continuous control function on a compact set to arbitrary accuracy. Kosko (1992) proved that fuzzy systems, in which membership functions… (More)

- T. Nguyen
- 2001

In fuzzy logic, every word or phrase describing uncertainty is represented by a real number from the interval 0; 1]. There are only denu-merable many words and phrases, and continuum many real numbers; thus, not every real number corresponds to some commonsense degree of uncertainty. In this paper, for several fuzzy logic, we describe which numbers are… (More)

- T. Nguyen, Abraham Kandel
- 1999

Uncertainty of complex-valued physical quantities z = x + iy can be described by complex fuzzy sets. Traditionally, such sets have been described by membership functions (x; y) which map the universe of discourse (complex plane) into the interval 0; 1]. The problem with this description is that it is diicult to directly translate into words from natural… (More)

- T. Nguyen
- 1997

In many practical problems, we must optimize a set function, i.e., nd a set a for which f(a) ! max, where f is a function deened on the class of sets. Such problems appear in design, in image processing, in game theory, etc. In particular, if we use statistical methods (i.e., random sets) to solve the corresponding set-related practical problems, then, at… (More)

- T. NGUYEN
- 1996

The solvability conditions for positive real and *-norm controller synthesis problems are expressed in terms of linear matrix inequalities that include the compensator gains implicitly. A variety of issues, including explicit expressions for the solutions, the issue of strictly proper vs proper controllers and relaxing full rank assumptions on the penalty… (More)

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