COMPARISON BETWEEN CHARACTERISTICS OF FUZZY, ROUGH, VAGUE, SOFT, FUZZY SOFT AND SOFT ROUGH SETS

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Published: 2016-09-19

Page: 256-261


MAHSA ADIBI

Faculty of Mathematical Sciences and Statistics, Malayer University, P.O.Box 65719-95863, Malayer, Iran

ALI KHOTANLOO

Faculty of Mathematical Sciences and Statistics, Malayer University, P.O.Box 65719-95863, Malayer, Iran

AMIR PISHKOO *

Physics and Accelerators Research School, NSTRI, P.O.Box 14395-836, Tehran, Iran

*Author to whom correspondence should be addressed.


Abstract

For formal modeling, reasoning, and computing there are traditional mathematical tools which are crisp, deterministic, and precise in character. However, there are many complicated problems in engineering, mathematics, physics, economics, etc., that include data which are not always all crisp. The notions like fuzzy set, rough set, vague set, soft set, fuzzy soft set and soft rough set can give us ability to handle problems involving uncertainty. This paper introduces these notions and compares the differences between them.

Keywords: Uncertainty, fuzzy set, rough set, vague set, soft set, fuzzy soft set, soft rough set


How to Cite

ADIBI, M., KHOTANLOO, A., & PISHKOO, A. (2016). COMPARISON BETWEEN CHARACTERISTICS OF FUZZY, ROUGH, VAGUE, SOFT, FUZZY SOFT AND SOFT ROUGH SETS. Asian Journal of Mathematics and Computer Research, 13(4), 256–261. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/606

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