Abstract
In recent years, the complex fuzzy set theory has intensified the attention of many researchers. This paper focuses on developing the algebraic structures pertaining to lattice ordered groups and lattice ordered subgroups for complex intuitionistic fuzzy soft set theory. Furthermore, some of their properties and operations are discussed. In addition, the weighted distance measures between two complex intuitionistic fuzzy soft lattice ordered groups such as weighted hamming, weighted normalized hamming, weighted euclidean and weighted normalized euclidean distance measures were introduced and also some of the algebraic properties of the weighted distance measures are verified. Moreover, the application of complex intuitionistic fuzzy soft lattice ordered groups by using the weighted distance measures is analysed.
Highlights
Vagueness and various uncertainties are characteristics that are pervasive in problems which occuring in engineering, medical science, economics, environments, etc
We find an application of CIF SL-G using weighted distance measures on CIF SL-G s
We present an application of weighted distance measures on CIF SL-G s
Summary
Vagueness and various uncertainties are characteristics that are pervasive in problems which occuring in engineering, medical science, economics, environments, etc. [8] introduced and developed the notion of complex intuitionistic fuzzy soft groups. Distance measure is an important issue on fuzzy sets, soft sets and other hybrid structures. [16,17] introduced the study of fuzzy lattice ordered groups in a different manner. We introduce and develop the theory of complex intuitionistic fuzzy soft lattice ordered group (CIF SL-G ). A concept of lattice ordered algebraic structures of complex intuitionistic fuzzy soft sets is originated. We find an application of CIF SL-G using weighted distance measures on CIF SL-G s
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