Open AccessOn anti-fuzzy subgroup
Author(s) -
Sudipta Gayen,
Sudhanshu Kumar Jha,
Manoranjan Singh Kumar,
Ashish Kumar
Publication year - 2021
Publication title -
yugoslav journal of operations research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.221
H-Index - 21
eISSN - 1820-743X
pISSN - 0354-0243
DOI - 10.2298/yjor200717043g
Subject(s) - mathematics , fuzzy logic , maximal subgroup , characteristic subgroup , set (abstract data type) , fuzzy set , fitting subgroup , normal subgroup , group (periodic table) , algebra over a field , discrete mathematics , computer science , pure mathematics , artificial intelligence , symmetric group , chemistry , p group , organic chemistry , programming language
In this paper, efforts have been taken to generalise the notion of anti-fuzzy subgroup. Proposed definition was supported by graphical comparison with our previous result and suitably constructed examples. Based on the introduced definition, we derive not only some results of anti-fuzzy subgroup but also we redefine lower level set and lower level subgroup, and derive some essential theorems to study some algebraic characteristics. Further, a modified notion of lower level subgroup is given.