Some Novel Preference Relations for Picture Fuzzy Sets and Selection of 3-D Printers in Aviation 4.0

Abstract

Gündoğdu, Fatma Kutlu Ashraf, ShahzaibNowadays, one of thePicture fuzzy sets most significant players in the worlds’ economy is the aviation sector. This sector almostAviation 4.0 supports 87.7 million people who work in the aviation industry. Thus, this sector is rapidly developing due to high demand by customers and employees. Picture fuzzy sets (PFSs)Picture fuzzy sets are the latest extension of the ordinary fuzzy setsFuzzy sets (FSs). The main characteristic of the picture fuzzy setsPicture fuzzy sets is satisfying the condition that the sum of the positive, negative and neutral membership degrees must be at least zero and at most one. Preference relations have generally been identified as a significant strategy for expressing the interests of decision-makers over alternatives in the decision-making procedure. In this research, novel picture preference relations are established under the picture fuzzy environment. The backbone of this research, picture fuzzy preference relation, consistent picture fuzzy preference relations, incomplete picture fuzzy preference relations, consistent incomplete picture fuzzy preference relations, and acceptable incomplete picture fuzzy preference relations are established. Finally, some ranking and selection algorithms are established using these preference relations for decision-making (DM) alternatives. A few numerical examples on selection of 3D printers3D printer in aviation sector demonstrate the applicability and validity of the proposed approach.