模糊数学作为模糊集与模糊逻辑的比较研究

Sonal Dixit, Kirti Verma
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摘要

模糊数学被认为是解释不确定性和处理数据的不可靠信息和模糊性的数学领域的一个重要方面。在这一章中,我们将讨论模糊数学的概念,如模糊集和模糊逻辑,以及模糊集理论和模糊逻辑的起源及其在现实生活中的应用。随着模糊数学和模糊逻辑在各个领域的发展、工程设计和模型以及新技术中的应用,模糊数学和模糊逻辑变得越来越重要。本文还讨论了T. Patro[8]和C.K. Muthumaniraj[2]提出的模糊逻辑的一些新模型,模糊逻辑在许多领域发挥着重要作用。我试图使这一章成为研究者和学生的一个坚实的基础,从而为模糊集合论和模糊逻辑的比较研究的进一步研究提供坚实的基础。
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COMPARATIVE STUDY OF FUZZY MATHEMATICS AS FUZZY SETS AND FUZZY LOGICS
Fuzzy mathematics is considered to be an important aspect in the field of mathematics that interprets the uncertainties and deals with the unreliable information and vagueness of data. In this chapter we shall discuss the concept of fuzzy mathematics as fuzzy set and fuzzy logics and the beginning of fuzzy set theory and the fuzzy logics with their applications in the real life. As fuzzy mathematics and fuzzy logics are becoming increasingly significant as it is applied in almost every field of developments, engineering design and models and in new technologies also. We also discuss some recent models of fuzzy logics given by T. Patro[8] and C.K. Muthumaniraj [2] Fuzzy logics are playing very important role in many areas. I tried to make this chapter as a strong base for researchers and students so that it can prove strong base for further researches for comparative study of fuzzy set theory and fuzzy logics.
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