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What is Fuzzy Measures

Handbook of Research on Industrial Informatics and Manufacturing Intelligence: Innovations and Solutions
The fuzzy measures provide a quantitative value of the degree of fuzziness in a fuzzy set.
Published in Chapter:
Fuzzy Logic: Concepts, System Design, and Applications to Industrial Informatics
Siddhartha Bhattacharyya (The University of Burdwan, India) and Paramartha Dutta (Visva-Bharati University, India)
DOI: 10.4018/978-1-4666-0294-6.ch003
Abstract
The field of industrial informatics has emerged as one of the key disciplines for the purpose of intelligent management and dissemination of information in today’s world. With the advent of newer technical know-how, the subject of informative intelligence has assumed increasing importance in the industrial arena, thanks to the evolution of data intensive industry. Real world data exhibit varied amount of unquantifiable uncertainty in the information content. Conventional logic is often unable to explain the associated uncertainty and imprecision therein due to the principles of finiteness of observations and quantifying propositions employed. Fuzzy sets and fuzzy logic provide a logical framework for description of the varied amount of ambiguity, uncertainty and imprecision exhibited in real world data under consideration. The resultant fuzzy inference engine and the fuzzy logic control theory supplement the power of the framework in design of robust failsafe real life systems.
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