The problem of selection breakthrough inventions to be commercialized (SBIC) is significantly important for innovative enterprises. As the processes commercializing are time-consuming and high-cost, enterprises have tradeoff among all possible determine which should commercialized. SBIC refers a process in multiple experts invited evaluate potential from aspects based on their assessments, chos...

The main aim of this paper is to present a novel method for ranking hesitant fuzzy sets (HFSs) based on transforming HFSs into fuzzy sets (FSs). The idea behind the method is an interesting HFS decomposition which is referred here to as the horizontal representation in the current study. To show the validity of the proposed ranking method, we apply it to solve a multi-attribute decision-making ...

As an special intuitionistic fuzzy set defined on the real number set, triangular intuitionistic fuzzy number (TIFN) is a fundamental tool for quantifying an ill-known quantity. In order to model the decision maker's overall preference with mandatory requirements, it is necessary to develop some Bonferroni harmonic mean operators for TIFNs which can be used to effectively intergrate the informa...

As an extension of Pythagorean fuzzy sets and linguistic term sets, (PFSs) are powerful to describe decision-making information quantificational qualitatively, which have received much scholars’ attention. The purpose this paper is propose a new multiple attribute group (MAGDM) approach with (PFL) information. To end, we firstly analyze the drawbacks existing operations PFL numbers opera...