Intuitionistic fuzzy lattice ordered G-modules

The investigation of mathematics underlines accuracy, precision, and flawlessness, yet in numerous genuinecircumstances, individuals face equivocalness, ambiguity, imprecision, and so forth. Intuitionistic fuzzy settheory, rough set theory, and soft set theory are three noble techniques in mathematics that are utilisedfor decision-making in vague and uncertain information systems. Intuitionistic fuzzy algebra-based mathplays a huge part in the current era of mathematical research, and it deals with the algebraic conceptsand models of intuitionistic fuzzy sets. The investigation of different ordered algebraic structures, likelattice-ordered groups, Riesz spaces, etc., is of great importance in algebra. The theory of lattice-orderedG-modules is very useful in the study of lattice-ordered groups and similar algebraic structures. Inthis article, the theories of intuitionistic fuzzy sets and lattice-ordered G-modules are synchronised ina reasonable way to develop a novel concept in mathematics, i.e., intuitionistic fuzzy lattice-orderedG-modules, which would pave the way for new researchers in intuitionistic fuzzy mathematics to exploremuch more in this field.

کلیدواژه ها:

Intuitionistic fuzzy lG-ideal ، G-cut set ، G-support ، Lattice Ordered G-module ، lG-module Homomorphism