Abstract

This article demonstrates that a normal fuzzy number can be constructed from earthquake waveform data. According to the RandomnessFuzziness Consistency Principle, two independent laws of randomness in [α, β] and [β, γ] are necessary and sufficient to define a normal fuzzy number [α, β, γ]. In this article, we have shown how to construct normal fuzzy numbers using data from earthquake waveform and have studied the pattern of the membership curve

Highlights

  • In other words, trying to frame one single law of probability from a given law of fuzziness,A fuzzy real number [α, β, γ] is an interval as had been tried upon while formulating the around the real number β with the elements in existing probability-possibility consistency the interval being partially present

  • 2011b, 2011c, 2012), in this article we shall has led to a proper measure theoretic show how to construct normal fuzzy numbers explanation of partial presence, and using the data of minimum and maximum construction of fuzzy numbers can amplitudes of every individual oscillation of be based on that

  • Consistency between randomness and fuzziness states that the distribution function of L, which is known as the left reference function with reference to fuzziness, in the interval [α, β] together with the complementary distribution function of U which is known as the right reference function in the interval [β, γ], would give us the membership function of a normal fuzzy number [α, β, γ ]

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Summary

Introduction

In other words, trying to frame one single law of probability from a given law of fuzziness,. Based on the Randomness- Fuzziness otherwise, and not one single law of Consistency Principle 2011b, 2011c, 2012), in this article we shall has led to a proper measure theoretic show how to construct normal fuzzy numbers explanation of partial presence, and using the data of minimum and maximum construction of fuzzy numbers can amplitudes of every individual oscillation of be based on that. The basic problem in constructing normal [α, β] while U follows another law of fuzzy numbers was the lack of understanding randomness in the interval [β, γ], we are as to how exactly to define partial presence of in a situation defining fuzzy uncertainty, with an element in an interval. Various randomness defined in the measure theoretic explanations regarding the possible sense In such a case, Baruah’s principle of. The data collected from the aforesaid earthquake waveform, we proceed to construct a normal fuzzy number

Methodology
Construction of the membership curve for the earthquake waveform
Fitting of the reference functions
Conclusions

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