Fuzzy Mathematical Models in Engineering and Management Science

Fuzzy Mathematical Models in Engineering and Management Science


By (author) Arnold Kaufmann, By (author) Madan M. Gupta

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  • Publisher: Elsevier Science Ltd
  • Format: Hardback | 362 pages
  • Dimensions: 150mm x 230mm
  • Publication date: 1 October 1988
  • Publication City/Country: Oxford
  • ISBN 10: 0444705015
  • ISBN 13: 9780444705013

Product description

This work is by two of the leading researchers in the field of fuzzy set theory and fuzzy logic. It deals with the notions of fuzzy numbers with levels of perception and levels of presumption. Many new results, examples and novel applications in engineering and management science are presented. This approach makes the book interesting and easy to understand, and provides mathematical tools which readers may find useful in the study of their own problems. Of particular interest are the discussions of applications in areas employing zero-based budgeting, the Delphi method, critical path optimization, reliability modelling, filtering and transportation. The first section is devoted to the theoretical basis for these mathematical models. The second part deals with a variety of applications in engineering and management science. There are also seven appendices which contain some special mathematical operations (Minkowaski's operations) on fuzzy quantities and detailed biographical material.

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Table of contents

Theoretical Concepts. Fuzzy Set Theory and System Modelling. Theory of Fuzzy Sets. Theory of Fuzzy Numbers. Linear Ordering of Fuzzy Numbers. Evaluation of Imprecision in Fuzzy Numbers. Triangular Approximation of Various Functions of Triangular Fuzzy Numbers. Deconvolution of the Fuzzy Equations A(+)B=C, and A( . )B=C in R. T-Norms and T-Conorms. Fuzzy Numbers in [0,1]. Fuzzy Numbers in [0,1] with Higher-Order Intervals of Confidence in [0,1]. Models in Engineering and Management Science. Modelling Issues in Engineering and Management Science. Fuzzy Zero-Base Budgeting (F.Z.B.B.). Fuzzy Delphi Method (F.D.M.) in Forecasting and Decision Making. Discounting Problem using Fuzzy Numbers. Smoothing (Filtering) of Fuzzy Data. Reliability Modelling and Evaluation with Fuzzy Data. Ordering of Fuzzy Quotients. Critical Path Method (C.P.M.) with Fuzzy Data. Investment Problem with Fuzzy Data. Transportation Optimization with Fuzzy Data: (Fuzzy Stepping Stone Method). A General View about the Fuzzification of Models in Engineering and Management Science. Appendices.