Interactive Fuzzy Optimization

ISBN-13: 9783540545774 / Angielski / Miękka / 1991 / 222 str.

Mario Fedrizzi;Marc Roubens

Opis

This volume presents recent developments in the use of fuzzy sets in broadly perceived interactive optimization and mathematical programming. The introductory sections are followed by material with an emphasis on elements of human interaction and information on software packages.

Spis treści

1. Introductory Sections.- Fuzzy set theory and modelling of natural language semantics.- A survey of fuzzy optimization and mathematical programming.- 2. Fuzzy Optimization: General Issues and Related Topics.- Minimizing a fuzzy function.- A concept of optimality for fuzzified mathematical programming problems.- Some properties of possibilistic linear equality systems with weakly noninteractive fuzzy numbers.- Fuzzy preferences in linear programming.- Implication relations, equivalence relations and hierarchical structure of attributes in multiple criteria decision making.- Uncertain multiobjective programming as a game against nature.- Approaching fuzzy integer linear programming problems.- Interactive bicriteria integer programming: a performance analysis.- Interactive approaches for solving some decision making problems in the Czechoslovak power industry.- 3. Issues Related to Interactive Decision Making.- Elicitation of opinions by means of possibilistic sequences of questions.- Searching fuzzy concepts in a natural language data base.- Reconfigurable network architecture for distributed problem solving.- 4. Algorithms and Software for Interactive Fuzzy Optimization.- Interactive decision making for multiobjective linear programming problems with fuzzy parameters based on a solution concept incorporating fuzzy goals.- FULP — a PC-supported procedure for solving multicriteria linear programming problems with fuzzy data.- ‘FLIP’: multiobjective fuzzy linear programming software with graphical facilities.- FPLP — a package for fuzzy and parametric linear programming problems.- An expert system for the solution of fuzzy linear programming problems.