𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Using fuzzy bases to resolve nonlinear programming problems

✍ Scribed by P.Z. Wang; Ralf Östermark; Rajan Alex; S.H. Tan

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
191 KB
Volume
117
Category
Article
ISSN
0165-0114

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we introduce the concept of fuzzy bases and its usefulness in solving optimization problems with a nonlinear objective function and linear constraints. We investigate the properties of fuzzy bases and operationalize them in fuzzy interpolation. The NLP can be relaxed into a bilinear program with a simple structure using fuzzy interpolation, irrespective of whether the objective function is convex or not. If the objective function is convex, we prove that the optimization problem can be transformed into an ordinary LP using fuzzy (linear) bases.

📜 SIMILAR VOLUMES

Interactive fuzzy decision making for mu
Interactive fuzzy decision making for multiobjective nonlinear programming using augmented minimax problems
✍ Masatoshi Sakawa; Hitoshi Yano 📂 Article 📅 1986 🏛 Elsevier Science 🌐 English ⚖ 779 KB

An interactive fuzzy decision-making method for solving multiobjective nonlinear programming problems is presented in this paper by assuming that the decision maker (DM) has fuzzy goals for each of the objective functions. The fuzzy goals of the DM are quantified by eliciting corresponding membershi

Fuzzy programming approach to multi-leve
Fuzzy programming approach to multi-level programming problems
✍ Surabhi Sinha 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 260 KB

Multi-level programming is characterized as mathematical programming to solve decentralized planning problems. We have considered a multi-level linear programming problem and applied fuzzy mathematical programming (FMP) approach to obtain the solution of the system. We have suggested FMP method for

Stability of multiobjective nonlinear pr
Stability of multiobjective nonlinear programming problems with fuzzy parameters
✍ Mohamed S. Osman; Abou-Zaid H. El-Banna 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 351 KB

Osman, MS. and A.-Z.H. El-Banna, Stability of multiobjective nonlinear programming problems with fuzzy parameters, Mathematics and Computers in Simulation 35 (1993) 321-326. This paper deals with multiobjective nonlinear programming problems with fuzzy parameters in the objective functions. These f

Evolutionary algorithm solution to fuzzy
Evolutionary algorithm solution to fuzzy problems: Fuzzy linear programming
✍ James J. Buckley; Thomas Feuring 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 317 KB

In this paper we wish to ÿnd solutions to the fully fuzziÿed linear program where all the parameters and variables are fuzzy numbers. We ÿrst change the problem of maximizing a fuzzy number, the value of the objective function, into a multi-objective fuzzy linear programming problem. We prove that f