It is well known that the right (left) regular, regular, and intra-regular ordered semigroups play an essential role in studying the structure, especially the decomposition, of ordered semigroups. In the present paper we study some more general classes containing the right regular, left regular, regular and intra-regular ordered semigroups. As an application of our results we get characterizati...

In a recent paper, Osherson and Smith (198 1 i present an insig of some of the contending approaches to prototype theory and arrive a.l: the conclusiii3n that the theory of fuzzy sets does not provide a satisfactory solution to the problems that stand in the v~ay of constructing an adequate theory of prototypes. In what follows, the issues raised by Osherson and Smith are commented upon and an ...

By means of Dubois and Prade’s idea, we introduce the concept of rough fuzzy normal subgroups and investigate some related properties. Combining rough sets and soft sets, rough soft normal subgroups with respect to a normal subgroup of groups in Pawlak approximation spaces are introduced. Moreover, we investigate the relationships between lower and upper rough soft normal subgroups with respect...

The complex fuzzy environment is an innovative tool to handle ambiguous situations in different mathematical problems. In this article, we commence the abstraction of (?,?)-complex sets, subgroupoid, subgroups and describe important examples symmetric group under sets. Additionally, discuss conjugacy class with respect normal subgroups. We define cosets elaborate upon certain operation analog t...

Abstract. A subgroup H of a group G is said to be SS-embedded in G if there exists a normal subgroup T of G such that HT is subnormal in G and H T H sG , where H sG is the maximal s- permutable subgroup of G contained in H. We say that a subgroup H is an SS-normal subgroup in G if there exists a normal subgroup T of G such that G = HT and H T H SS , where H SS is an SS-embedded subgroup of ...

Despite being conceptually and algebraically straightforward, set coincidence has never received great attention within the framework of set-relational research, which has essentially focused on subset/superset relations. In this article, I advance a novel procedure called fuzzy-set coincidence analysis to systematically assess the degree of overlapping of two or multiple sets. Individual-level...

KEY WORDS Contextual spaces, context relation, contextual rough sets, elements of a contextual rough set, the counterpart of the axiom of extensionality. ABSTRACT This paper originates from the conceptions of rough sets presented by Pawlak (1982, 1992). It also refers to Ziarko's conception (1993) and the conceptions of Blizard's multisets (1989a, 1989b), Zadeh's fuzzy sets (1965), and the auth...

Sensors that measure yield, temperature, electrical conductivity of milk, and animal activity can be used for automated cow status monitoring. The occurrence of false-positive alerts, generated by a detection model, creates problems in practice. We used fuzzy logic to classify mastitis and estrus alerts; our objective was to reduce the number of false-positive alerts and not to change the level...