Linear Diophantine Fuzzy Rough Sets: A New Rough Set Approach with Decision Making

被引:30
|
作者
Ayub, Saba [1 ]
Shabir, Muhammad [1 ]
Riaz, Muhammad [2 ]
Mahmood, Waqas [1 ]
Bozanic, Darko [3 ]
Marinkovic, Dragan [4 ,5 ]
机构
[1] Quaid I Azam Univ, Dept Math, Islamabad 45320, Pakistan
[2] Univ Punjab, Dept Math, Lahore 54590, Pakistan
[3] Univ Def Belgrade, Mil Acad, Belgrade 11000, Serbia
[4] Univ Nis, Fac Mech Engn, Nish 18000, Serbia
[5] TU Berlin, Fac Mech Engn & Transport Syst, D-10623 Berlin, Germany
来源
SYMMETRY-BASEL | 2022年 / 14卷 / 03期
关键词
linear Diophantine fuzzy sets; linear Diophantine fuzzy relations; level cut relations of linear Diophantine fuzzy relations; symmetry of optimal decision; rough approximations; SOFT SETS; UPPER APPROXIMATIONS; MODEL; REDUCTION;
D O I
10.3390/sym14030525
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this article, a new hybrid model named linear Diophantine fuzzy rough set (LDFRS) is proposed to magnify the notion of rough set (RS) and linear Diophantine fuzzy set (LDFS). Concerning the proposed model of LDFRS, it is more efficient to discuss the fuzziness and roughness in terms of linear Diophantine fuzzy approximation spaces (LDFA spaces); it plays a vital role in information analysis, data analysis, and computational intelligence. The concept of (<p, p'>, <q, q'>)-indiscernibility of a linear Diophantine fuzzy relation (LDF relation) is used for the construction of an LDFRS. Certain properties of LDFA spaces are explored and related results are developed. Moreover, a decision-making technique is developed for modeling uncertainties in decision-making (DM) problems and a practical application of fuzziness and roughness of the proposed model is established for medical diagnosis.
引用
收藏
页数:23
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