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The commutativity degree is the probability that two random elements commute in G, and denoted as P(G). The main purposes of this paper is to find the probability of an element of a group G fixes a… (More)

- Mehrbakhsh Nilashi, Othman Ibrahim, Norafida Ithnin, Nor Haniza Sarmin
- Electronic Commerce Research and Applications
- 2015

In order to improve the tourist experience, recommender systems are used to offer personalized information for online users. The hotel industry is a leading stakeholder in the tourism sector, which… (More)

The
nonabelian tensor square G[otimes ] G of a group G is generated by the symbols
g[otimes ] h, g,h ∈ G, subject to the relations
$$gg\prime\otimesh=(^gg\prime\otimes^gh)(g\otimesh) and
… (More)

In this paper, we introduce the concepts of (α, β)-fuzzy interior ideals and $(\bar \beta ,\bar \alpha )$-fuzzy interior ideals of ordered semigroups, where α, β ∈ {εgg, qδ, εγ ∨ qδ, εγ ∧ qδ}, and… (More)

Algebraic structures especially an ordered semigroups play a prominent role in mathematics with wide ranging applications in many disciplines such as control engineering, computer arithmetics, coding… (More)

One of the ways to explore the properties of a group G is by computing its homological functors. One of the homological functors of a group G is the G-trivial subgroup of the nonabelian tensor square… (More)

Let G be a metacyclic 2-group. The probability that two random elements commute in G is the quotient of the number of commuting elements by the square of the order of G. This concept has been… (More)

The graph related to conjugacy classes is a graph whose vertices are non central conjugacy classes, where two vertices are connected by an edge if they are not coprime. In this paper, we generalize… (More)

A group G is said to be capable if it is isomorphic to the central factor group H/Z(H) for some group H. Let G be a nonabelian group of order p 2 q for distinct primes p and q. In this paper, we… (More)