Fuzzy Logic For Planning And Decision Making (applied Optimization)
by Freerk A. Lootsma /
2011 / English / DjVu
2.6 MB Download
This book starts with the basic concepts of Fuzzy Logic: the
membership function, the intersection and the union of fuzzy sets,
fuzzy numbers, and the extension principle underlying the
algorithmic operations. Several chapters are devoted to
applications of Fuzzy Logic in Operations Research: PERT planning
with uncertain activity durations, Multi-Criteria Decision Analysis
(MCDA) with vague preferential statements, and Multi-Objective
Optimization (MOO) with weighted degrees of satisfaction. New items
are: Fuzzy PERT using activity durations with triangular membership
functions, Fuzzy SMART with a sensitivity analysis based upon Fuzzy
Logic, the Additive and the Multiplicative AHP with a similar
feature, ELECTRE using the ideas of the AHP and SMART, and a
comparative study of the ideal-point methods for MOO. Finally,
earlier studies of colour perception illustrate the attempts to
find a physiological basis for the set-theoretical and the
algorithmic operations in Fuzzy Logic. The last chapter also
discusses some key issues in linguistic categorization and the
prospects of Fuzzy Logic as a multi-disciplinary research activity.
Audience: Researchers and students working in applied mathematics,
operations research, management science, business administration,
econometrics, industrial engineering, information systems,
artificial intelligence, mathematical psychology, and
psycho-physics.
This book starts with the basic concepts of Fuzzy Logic: the
membership function, the intersection and the union of fuzzy sets,
fuzzy numbers, and the extension principle underlying the
algorithmic operations. Several chapters are devoted to
applications of Fuzzy Logic in Operations Research: PERT planning
with uncertain activity durations, Multi-Criteria Decision Analysis
(MCDA) with vague preferential statements, and Multi-Objective
Optimization (MOO) with weighted degrees of satisfaction. New items
are: Fuzzy PERT using activity durations with triangular membership
functions, Fuzzy SMART with a sensitivity analysis based upon Fuzzy
Logic, the Additive and the Multiplicative AHP with a similar
feature, ELECTRE using the ideas of the AHP and SMART, and a
comparative study of the ideal-point methods for MOO. Finally,
earlier studies of colour perception illustrate the attempts to
find a physiological basis for the set-theoretical and the
algorithmic operations in Fuzzy Logic. The last chapter also
discusses some key issues in linguistic categorization and the
prospects of Fuzzy Logic as a multi-disciplinary research activity.
Audience: Researchers and students working in applied mathematics,
operations research, management science, business administration,
econometrics, industrial engineering, information systems,
artificial intelligence, mathematical psychology, and
psycho-physics.