In this chapter, preliminaries related to fuzzy numbers and arithmetic have been discussed. Fuzzy arithmetic may be considered as an extension of classical real numbers and its arithmetic. There exist different types of fuzzy numbers, but for the sake of completeness of the chapter, triangular, trapezoidal, and Gaussian fuzzy numbers based on the membership functions have only been included here. Further, the conversions of these fuzzy numbers to fuzzy intervals with respect to the concept of intervals are also incorporated. In this regard, the interval arithmetic mentioned in Chap. 1 has been further extended to fuzzy intervals in this chapter.
CITATION STYLE
Chakraverty, S., Sahoo, D. M., & Mahato, N. R. (2019). Fuzzy Numbers. In Concepts of Soft Computing (pp. 53–69). Springer Singapore. https://doi.org/10.1007/978-981-13-7430-2_3
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