Bilevel optimization problems with multivalued objective functions in both levels are first replaced by a problem with a parametric lower level using a convex combination of the lower level objectives. Thus a nonconvex multiobjective bilevel optimization problem arises which is then transformed into a parametric bilevel programming problem. The investigated problem has been considered in the pa...

We give some sufficient conditions such that a crisp, interval, triangular, trapezoidal, parametric approximation of a fuzzy number, with or without additional requirements, to have the properties of invariance to translations or scale invariance.

The application of fuzzy logic is an effective approach to a variety circumstances, including solutions maritime anti-collision problems. article presents upgrade the radar navigation system, in particular, its collision avoidance planning tool, using decision model that combines dynamic parameters into one decision—the course. In this paper, multi-parametric based on proposed. calculates cours...

Using a parametric Riemann integral representation, a numerical algorithm for solving fuzzy Fredholm and Voltera integral equations of the second kind with arbitrary kernel is proposed and illustrated with examples. © 1999 Elsevier Science Inc. All rights reserved.

This paper presents an iterative algorithm for solving intuitionistic fuzzy nonlinear equations (IFNEs). The proposed method is based on the classical conjugate gradient (CG) search direction. An interesting feature of new that it considers problems special triangular number. For this purpose, quantities are transformed into membership and non-membership parametric forms, a line procedure emplo...

The multi-motor drives, the typical examples of which are continuous lines (CL) for tension processing various materials complex and coupled MIMO higher-order nonlinear systems, parameters difficult to identify. article focuses on a method design non-parametric black-box fuzzy model production line with emphasis minimal knowledge modelled system. proposed structure is based state space represen...