24 citations · 50 across the 6 of their papers we have counts for
6 papers
Separation Axioms in Bi-soft Topological Spaces
Munazza Naz, Muhammad Shabir, Muhammad Irfan Ali
Concept of bi-soft topological spaces is introduced. Several notions of a soft topological space are generalized to study bi-soft topological spaces. Separation axioms play a vital…
Soft Neutrosophic Algebraic Structures and Their Generalization, Vol. 2
Mumtaz Ali, Florentin Smarandache, Muhammad Shabir
In this book, the authors define several new types of soft neutrosophic algebraic structures over neutrosophic algebraic structures and we study their generalizations. These soft n…
Soft Neutrosophic Algebraic Structures and Their Generalization
Florentin Smarandache, Mumtaz Ali, Muhammad Shabir
Study of soft sets was first proposed by Molodtsov in 1999 to deal with uncertainty in a non-parametric manner. The researchers did not pay attention to soft set theory at that tim…
On Bipolar Soft Sets
Muhammad Shabir, Munazza Naz
We have studied the concept of bipolarity of information in the soft sets. We have defined bipolar soft sets and basic operations of union, intersection and complementation for bip…
Semihyperrings Characterized by Their Hyperideals
M. Shabir, Nayyar Mehmood, Piergiulio Corsini
The concept of hypergroup is generalization of group, first was introduced by Marty [9]. This theory had applications to several domains. Marty had applied them to groups, algebrai…
Characterizations of hemirings by their -ideals
W. A. Dudek, M. Shabir, R. Anjum
In this paper we characterize hemirings in which all -ideals or all fuzzy -ideals are idempotent. It is proved, among other results, that every -ideal of a hemiring is…