Pythagorean Fuzzy HX-subgroups and Their Applications
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i2.5768Keywords:
Pythagorean fuzzy sets, Pythagorean fuzzy homomorphism, normal HX-subgroupsAbstract
In this paper, we introduce the notion of a pythagorean fuzzy HX-subgroup and a normal HX-subgroup. In addition, we prove various chracterisations for pythagorean fuzzy HX-subgroups and pythagorean normal HX-subgroups. Moreover, the notations of pythagorean fuzzy HX-subgroups homomorphisms and antihomomorphisms are introduced, and some related properties regarding the relationship between a pythagorean fuzzy set and its image are investigated. Characterisations of level pythagorean fuzzy HX-subgroups and normal HX-subgroups are proved. These results generalised some results regarding fuzzy HX-subgroups.
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