The notion of a q-rung orthopair fuzzy soft rough set (q ROF SRS) appeared as an extension of q-rung orthopair fuzzy set (q ROF S) and q-rung orthopair fuzzy soft set (q ROF SS) with the aid of rough set (RS) definition. Thus, q ROF SRS and m-polar fuzzy set (m P F S) are convenient to deal with uncertain knowledge which helps us to solve many problems in decision making. In this paper, we define the soft rough q-rung orthopair m-polar fuzzy sets (q RO m P F S) and q-rung orthopair m-polar fuzzy soft rough sets (q RO m P F SRS) through crisp soft and q-rung orthopair (q-RO) m-polar fuzzy soft approximation space. The related characteristics of these models are also studied. Then, we construct two new algorithms for these models to solve MADM issues. The successful application and corresponding comparative analyses proves that our proposed models are rational and effective. bullet.png INDEX TERMS q-rung orthopair fuzzy soft rough set, m-polar fuzzy set, soft rough q-rung orthopair m-polar fuzzy sets, q-rung orthopair m-polar fuzzy soft rough sets, multi-attribute decision making.
In this study, the generalized intersection and union operations of fuzzy soft set (FSS) are established on the basis of traditional FSS operations, which overcome the shortcomings of traditional FSS operations that do not meet De Morgan’s law, and a series of properties of generalized intersection and union operations of FSS are obtained. The fuzzy soft topology under generalized intersection and generalized union operation of FSSs is established. Finally, the topological construction of weak FSS and strong FSS is discussed, and the relationship between them and the topological construction of traditional FSS is obtained.
In this paper, we study a special class of constacyclic codes over a non-chain ring. Firstly, a new Gray map is given. Then we investigate some properties of this class of constacyclic codes. Finally, we present an example to illustrate the research results.
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