𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Optimization in an intuitionistic fuzzy environment

✍ Scribed by Plamen P. Angelov

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
356 KB
Volume
86
Category
Article
ISSN
0165-0114

No coin nor oath required. For personal study only.

✦ Synopsis

A new concept of the optimization problem under uncertainty is proposed and treated in the paper. It is an extension of fuzzy optimization in which the degrees of rejection of objective(s) and of constraints are considered together with the degrees of satisfaction. This approach is an application of the intuitionistic fuzzy (IF) set concept to optimization problems. An approach to solving such problems is proposed and illustrated with a simple numerical example. It converts the introduced intuitionistic fuzzy optimization (IFO) problem into the crisp (non-fuzzy) one. The advantage of the IFO problems is twofold: they give the richest apparatus for formulation of optimization problems and, on the other hand, the solution of IFO problems can satisfy the objective(s) with bigger degree than the analogous fuzzy optimization problem and the crisp one. @ 1997 Elsevier Science B.V.

πŸ“œ SIMILAR VOLUMES

Fuzzy connectedness in intuitionistic fu
Fuzzy connectedness in intuitionistic fuzzy topological spaces
✍ Necla Turanli; DoαΈ‘an Γ‡oker πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 104 KB

The aim of this paper is to introduce several types of fuzzy connectedness in intuitionistic fuzzy topological spaces deΓΏned by Coker (1997). This construction is based on the idea of intuitionistic fuzzy set developed by Atanassov (1983Atanassov ( , 1986;;Atanassov and Stoeva, 1983). We also invest

An introduction to intuitionistic fuzzy
An introduction to intuitionistic fuzzy topological spaces
✍ DoΗ§an Γ‡oker πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 558 KB

The purpose of this paper is to construct the basic concepts of the so-called "intuitionistic fuzzy topological spaces". After giving the fimdamental definitions and the necessary examples we introduce the definitions of fuzzy continuity, fuzzy compactness, fuzzy connectedness and fuzzy Hausdorff sp

An application of intuitionistic fuzzy s
An application of intuitionistic fuzzy sets in medical diagnosis
✍ Supriya Kumar De; Ranjit Biswas; Akhil Ranjan Roy πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 85 KB

In this paper we study the Sanchez's approach for medical diagnosis and extend this concept with the notion of intuitionistic fuzzy set theory (which is a generalization of fuzzy set theory).