Vaguely Defined Objects Representations, Fuzzy Sets and Nonclassical Cardinality Theory /

• Main Author: Wygralak, Maciej. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Dordrecht : Springer Netherlands, 1996.
• Series: Theory and Decision Library, Series B: Mathematical and Statistical Methods ; 33
• Subjects: Mathematics.; Operations research.; Decision making.; Computer science.; Artificial intelligence.; Mathematical logic.; Mathematical Logic and Foundations.; Operation Research/Decision Theory.; Computer Science, general.; Artificial Intelligence (incl. Robotics).
• Online Access: View fulltext via EzAccess

In recent years, an impetuous development of new, unconventional theories, methods, techniques and technologies in computer and information sciences, systems analysis, decision-making and control, expert systems, data modelling, engineering, etc. , resulted in a considerable increase of interest in...

Table of Contents:

• Vaguely Defined Objects
• Basic Notions and Problems
• Mathematical Approaches to Vaguely Defined Objects
• Mathematical Approaches to Subdefinite Sets
• A Unifying Approximative Approach to Vaguely Defined Objects
• Nonclassical Cardinality Theory for Vaguely Defined Objects
• Equipotencies
• Generalized Cardinal Numbers
• Selected Applications
• Inequalities
• Many-Valued Generalizations
• Towards Arithmetical Operations
• Addition
• Multiplication
• Other Basic Operations
• Generalized Arithmetical Operations
• Cardinalities with Free Representing Pairs
• Further Modifications and Final Remarks.