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International Journal for Uncertainty Quantification

Impact factor: 0.967

ISSN Print: 2152-5080
ISSN Online: 2152-5099

Open Access

International Journal for Uncertainty Quantification

DOI: 10.1615/Int.J.UncertaintyQuantification.2017021012
pages 1-22

A STUDY ON Z-SOFT ROUGH FUZZY SEMIGROUPS AND ITS DECISION-MAKING

Qiumei Wang
Department of Mathematics, Hubei University for Nationalities, Enshi, 445000, Peoples Republic of China
Jianming Zhan
Department of Mathematics, Hubei University for Nationalities, Enshi, 445000, P.R. China
Muhammad Irfan Ali
Department of Mathematics, Islamabad Model College for Girls, F-6/2, Islamabad, Pakistan
Nayyar Mehmood
Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan

ABSTRACT

The hybrid soft set model is an important topic dealing with uncertain information. In this article, we firstly introduce the concept of Z-soft rough fuzzy sets of a semigroup, and obtain some basic operations about the upper (lower) approximations. Next, we give the definition of Z-soft rough fuzzy semigroups and study related properties. Particularly, we form an approach which is built on the basis of Z-soft rough fuzzy sets of a semigroup for decision-making, and we also give an example to test the validity of the approach. Finally, we compare the performance of three algorithms for decision-making, stated in terms of hybrid soft set models, inclusive of our Z-soft rough fuzzy sets. We use computer simulations in a medical environment with Matlab programs that are provided in an Appendix.