Automata theory plays a key role in computational theory as many computational problems can be solved with its help. Formal grammar is a special type of automata designed for linguistic purposes. Formal grammar generates formal languages. Rough grammar and rough languages were introduced to incorporate the imprecision of real languages in formal languages. These languages have limitations on un...

Inspired by the lotus effect in nature, surface roughness engineering has led to novel materials and applications in many fields. Despite the rapid progress in superhydrophobic and superoleophobic materials, this concept of Mother Nature's choice is yet to be applied in the design of advanced nanocarriers for drug delivery. Pioneering work has emerged in the development of nanoparticles with ro...

The present paper proposes a novel way to unify Rough Set Theory and Formal Concept Analysis. Our method stems from results insights developed in the algebraic theory of modal logic, is based on idea that Pawlak’s original approximation spaces can be seen as special instances enriched formal contexts, i.e. relational structures formal; contexts

Rough set is a new approach to uncertainties in spatial analysis. In this paper, we complete three works under the umbrella of rough space. First, a set of simplified rough symbols is extended on the basis of existing rough symbols. It is in terms of rough interpretation and specialized indication. Second, rough spatial entity is proposed to study the real world as it is, without forcing uncert...

Soft set theory is a newly emerging tool to deal with uncertain problems. Based on soft sets, soft rough approximation operators are introduced, and soft rough sets are defined by using soft rough approximation operators. Soft rough sets, which could provide a better approximation than rough sets do, can be seen as a generalized rough set model. This paper is devoted to investigating soft rough...

In this article a new model of regression is defined. On the basis of the rough sets theory a notion of rough number is defined. Typical real numbers calculations do not keep the additional information like the uncertainty or the error of input data. Rough numbers remove this limitation. It causes that rough numbers seem to be interested as the basis of the new way of regression: rough regression.

$L$-fuzzy rough sets are extensions of the classical rough sets by relaxing theequivalence relations to $L$-relations. The topological structures induced by$L$-fuzzy rough sets have opened up the way for applications of topological factsand methods in granular computing. In this paper, we firstly prove thateach arbitrary $L$-relation can generate an Alexandrov $L$-topology.Based on this fact, w...