Normal Approximations of the Arithmetic of Mixed Fuzzy Numbers

Yi-Fang Chen; Hui-Chin Tang

doi:10.20944/preprints201710.0120.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 17 October 2017 / Approved: 17 October 2017 / Online: 17 October 2017 (14:24:15 CEST)

In fuzzy group decision making problems and fuzzy shortest path problems, the addition and subtraction are the basic problems. For the mixed normal fuzzy numbers and trapezoidal fuzzy numbers, the addition and subtraction operations are approximated by the normal fuzzy numbers in this paper. The behaviors of approximated normal fuzzy numbers are the same as those of the normal distributions from the viewpoint of probability. An application of the addition and subtraction operations of mixed fuzzy numbers to the fuzzy sample mean is also proposed.

fuzzy number; normal fuzzy number; addition and subtraction; approximation.

Computer Science and Mathematics, Applied Mathematics

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Normal Approximations of the Arithmetic of Mixed Fuzzy Numbers

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