A Four-Step Approach to Ranking Z-numbers
محورهای موضوعی : مجله بین المللی ریاضیات صنعتی
Sedigheh Hosseini
1
,
Somayeh Ezadi
2
1 - Department of Mathematics, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran.
2 - Department of Mathematics, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran
کلید واژه: Z-Numbers, Ranking, New approach, Data analysis, Decision, Forecasting.,
چکیده مقاله :
As the concept of Z-numbers is relatively new in fuzzy sets, its basic theoretical aspects have not yet been paid attention particularly in the field of ranking, which plays a substantial role in data analysis, decision optimization, forecasting, etc. In this matter, a few methods are developed to rank them but by including some shortcomings.It caused that, illogically providing the same ranks for many Z-numbers. Algorithms of some of the presented ranking methods also have computational complexity and as a result, they have a high computational cost. Moreover, the proposed algorithms included computational complications and as a result, they have a high computational cost. To fulfill this shortcoming, this paper develops a novel approach for ranking Z-number. Finally, the correctness of the subject is shown in several examples.
As the concept of Z-numbers is relatively new in fuzzy sets, its basic theoretical aspects have not yet been paid attention particularly in the field of ranking, which plays a substantial role in data analysis, decision optimization, forecasting, etc. In this matter, a few methods are developed to rank them but by including some shortcomings.It caused that, illogically providing the same ranks for many Z-numbers. Algorithms of some of the presented ranking methods also have computational complexity and as a result, they have a high computational cost. Moreover, the proposed algorithms included computational complications and as a result, they have a high computational cost. To fulfill this shortcoming, this paper develops a novel approach for ranking Z-number. Finally, the correctness of the subject is shown in several examples.
