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Construction of Normal Fuzzy Numbers using the Mathematics of Partial Presence

Construction of Normal Fuzzy Numbers using the Mathematics of Partial Presence

Hemanta K. Baruah
Copyright: © 2014 |Pages: 18
ISBN13: 9781466649910|ISBN10: 1466649917|EISBN13: 9781466649927
DOI: 10.4018/978-1-4666-4991-0.ch006
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MLA

Baruah, Hemanta K. "Construction of Normal Fuzzy Numbers using the Mathematics of Partial Presence." Mathematics of Uncertainty Modeling in the Analysis of Engineering and Science Problems, edited by S. Chakraverty, IGI Global, 2014, pp. 109-126. https://doi.org/10.4018/978-1-4666-4991-0.ch006

APA

Baruah, H. K. (2014). Construction of Normal Fuzzy Numbers using the Mathematics of Partial Presence. In S. Chakraverty (Ed.), Mathematics of Uncertainty Modeling in the Analysis of Engineering and Science Problems (pp. 109-126). IGI Global. https://doi.org/10.4018/978-1-4666-4991-0.ch006

Chicago

Baruah, Hemanta K. "Construction of Normal Fuzzy Numbers using the Mathematics of Partial Presence." In Mathematics of Uncertainty Modeling in the Analysis of Engineering and Science Problems, edited by S. Chakraverty, 109-126. Hershey, PA: IGI Global, 2014. https://doi.org/10.4018/978-1-4666-4991-0.ch006

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Abstract

Every normal law of fuzziness can be expressed in terms of two laws of randomness defined in the measure theoretic sense. Indeed, two probability measures are necessary and sufficient to define a normal law of fuzziness. Hence, the measure theoretic matters with reference to fuzziness have to be studied accordingly. In this chapter, we are going to discuss how to construct normal fuzzy numbers using this concept which is based on our mathematics of partial presence. Three case studies have been presented with reference to expressing stock prices in terms of fuzzy numbers. We have shown how exactly a normal fuzzy number appears.

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