Study on Fuzzy Mathematics and Its Applications

DOI

10.2991/ameii-16.2016.25How to use a DOI?

Keywords

Fuzzy Mathematics, Application, Advanced Industry

Abstract

Fuzzy Mathematics produced in 1960s, its formation and development do not want to give up mathematical accuracy, rigor, but to make the objective existence of some of the ambiguity of things and phenomena able to use mathematical methods to study and deal with. The so-called "fuzzy" means things are not clear objective and uncertainty, its roots lie in the difference between the existence of an intermediary transition objective things. For example, say that a man is "tall," which is a vague concept, it is difficult to say how high the count, "tall", because there is no obvious "boundary" between "high" and "low." To solve this problem fundamentally, the US cybernetics expert Professor Zadeh re-examine the foundations of mathematics - set theory, and in 1965 first proposed the concept of fuzzy sets to form a fuzzy mathematics of this new branch of mathematics.

Copyright

© 2016, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Yang Li
PY  - 2016/04
DA  - 2016/04
TI  - Study on Fuzzy Mathematics and Its Applications
BT  - Proceedings of the 2nd International Conference on Advances in Mechanical Engineering and Industrial Informatics (AMEII 2016)
PB  - Atlantis Press
SP  - 124
EP  - 127
SN  - 2352-5401
UR  - https://doi.org/10.2991/ameii-16.2016.25
DO  - 10.2991/ameii-16.2016.25
ID  - Li2016/04
ER  -