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An algorithm for quadratically constrained multi-objective quadratic fractional programming with pentagonal fuzzy numbers

Goyal Vandana, Rani Namrata, Gupta Deepak

Operations Research and Decisions

2022

Vol. 32, No. 1

49--71

This study proposes a methodology to obtain an efficient solution for a programming model which is multi-objective quadratic fractional with pentagonal fuzzy numbers as coefficients in all the objective functions and constraints. The proposed approach consists of three stages. In the first stage, defuzzification of the coefficients is carried out using the mean method of α-cut. Then, in the second stage, a crisp multi-objective quadratic fractional programming model (MOQFP) is constructed to obtain a non-fractional model based on an iterative parametric approach. In the final stage, this multi- -objective non-fractional model is transformed to obtain a model with a single objective by applying the ε-constraint method. This final model is then solved to get desired solution. Also, an algorithm and flowchart expressing the methodology are given to present a clear picture of the approach. Finally, a numerical example illustrating the complete approach is given.

Parametric approach for Luenberger observers for descriptor linear systems

Duan G.R., Wu A.G., Hou W.N.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2007

Vol. 55, nr 1

15-18

A complete parametric approach is proposed for the design of the Luenberger type function Kx observers for descriptor linear systems. Based on a complete parametric solution to a class of generalized Sylvester matrix equations, parametric expressions for all the coefficient matrices of the observer are derived. The approach provides all the degrees of design free-dom, which ran be utilized to achieve same additional design requirements. An illustrative example shows the effect of the proposed approach.

Badania systemów zarządzania jakością z wykorzystaniem parametrycznej metody oceny

Musiał M.

Problemy Jakości

2004

R. 36, nr 12

29-32

The article proposes a parametric approach to evaluation of quality management systems. The obtained results allow identification of those areas of activity which most urgently require improvement. Besides, the approach makes it possible to compare the results with those for other organisations and to analyse trends. The approach was tested for efficiency on a sample of 20 companies.