Cubic bipolar fuzzy ordered weighted geometric aggregation operators and their application using internal and external cubic bipolar fuzzy data

• Published in: Computational & applied mathematics Vol. 38; no. 2; pp. 1 - 25
• Main Authors: Riaz, Muhammad, Tehrim, Syeda Tayyba
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.06.2019; Springer Nature B.V
• Subjects: Agglomeration; Applications of Mathematics; Applied physics; Computational mathematics; Computational Mathematics and Numerical Analysis; Decision making; Fuzzy sets; Hierarchies; Mathematical Applications in Computer Science; Mathematical Applications in the Physical Sciences; Mathematics; Mathematics and Statistics; Operators; 03E72; Internal cubic bipolar fuzzy sets; External cubic bipolar fuzzy sets; CBFOWG and; Multiple attribute decision making; Properties of ICBF-sets and ECBF-sets; 90B50; CBFOWG operators
• ISSN: 2238-3603; 1807-0302
• DOI: 10.1007/s40314-019-0843-3

In the present study, we discuss the concept of internal cubic bipolar fuzzy (ICBF) sets and external cubic bipolar fuzzy (ECBF) sets. We also discuss some properties of ICBF-sets and ECBF-sets under both P -Order and R -Order. We present examples and counterexamples to support our concepts. Furthermore, we see the importance of ICBF-sets and EBCF-sets in multiple attribute decision making. We proposed two cubic bipolar fuzzy ordered weighted geometric aggregation operators, including, P -CBFOWG operator and R -CBFOWG operator to aggregate cubic bipolar fuzzy information with both perspectives, i.e., ICBF data and ECBF data. Finally, we present a multiple attribute decision making problem to examine the useability and capability of these operators and a comparison between ICBF information and ECBF information.