Quasinormality and fuzzy subgroups
Fuzzy Sets and Systems
The lattices of fuzzy subgroups and fuzzy normal subgroups
Information Sciences—Informatics and Computer Science: An International Journal
Modularity of the quasi-Hamiltonian fuzzy subgroups
Information Sciences—Intelligent Systems: An International Journal
The lattice of fuzzy normal subgroups is modular
Information Sciences—Intelligent Systems: An International Journal
A metatheorem for deriving fuzzy theorems from crisp versions
Fuzzy Sets and Systems
Lattices of fuzzy subgroupoids, fuzzy submonoids, and fuzzy subgroups
Information Sciences: an International Journal
Fuzzy groups with sup property
Information Sciences: an International Journal
The join of fuzzy algebraic substructures of a group and their lattices
Fuzzy Sets and Systems
Information Sciences: an International Journal
The lattice of L-ideals of a ring is modular
Fuzzy Sets and Systems
| Hi-index | 0.20 |
Tom Head formulated a "Metatheorem" in 1995 [Fuzzy Sets and Systems 73 (1995) 349] with an idea of directly proving the fuzzy analogs of results of classical Mathematics. In the process he defined a vital concept of tip extended pair of fuzzy subgroups. In this paper we use this concept to define the join of fuzzy subgroups. Using this definition of join, we have provided a much simpler and direct proof of modularity of the lattice of fuzzy normal subgroups. Moreover, we have also demonstrated other applications regarding quasinormality and fuzzy submonoid generated by two fuzzy submonoids using the redefined sup-min product due to Kim [Inform. Sci. 91 (1996) 77].