Riassunto
The title of this book seems to indicate that the volume is dedicated to a very specialized and narrow area, i. e. , to the relationship between a very special type of optimization and mathematical programming. The contrary is however true. Optimization is certainly a very old and classical area which is of high concern to many disciplines. Engineering as well as management, politics as well as medicine, artificial intelligence as well as operations research, and many other fields are in one way or another concerned with optimization of designs, decisions, structures, procedures, or information processes. It is therefore not surprising that optimization has not grown in a homogeneous way in one discipline either. Traditionally, there was a distinct difference between optimization in engineering, optimization in management, and optimization as it was treated in mathematical sciences. However, for the last decades all these fields have to an increasing degree interacted and contributed to the area of optimization or decision making. In some respects, new disciplines such as artificial intelligence, descriptive decision theory, or modern operations research have facilitated, or even made possible the interaction between the different classical disciplines because they provided bridges and links between areas which had been developing and applied quite independently before. The development of optimiiation over the last decades can best be appreciated when looking at the traditional model of optimization. For a well-structured, Le.
Contenuti
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.
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