In some multi-attribute decision making (MADM) problems, various relationships among the decision attributes should be considered. This paper investigates the prioritization relationship of attributes in MADM with trapezoidal intuitionistic fuzzy numbers (TrIFNs). TrIFNs are a special intuitionistic fuzzy set on a real number set and have the better capability to model ill-known quantities. Fir...

Entropy is an important tool to describe the degree of uncertainty fuzzy sets. In this study, we first define a new entropy and distance measure in linguistic q-Rung orthopair (LIVqROF) environment, verify its correctness rationality. Secondly, LIVqROF formula effectively applied multi-attribute decision making (MADM) with unknown attribute weights, which provides idea for solving MADM problems...

The dynamic multi-attribute decision making problems with intuitionistic fuzzy information are investigated. The notions of intuitionistic fuzzy variable and uncertain intuitionistic fuzzy variable are defined, and two new aggregation operators: dynamic intuitionistic fuzzy weighted averaging (DIFWA) operator and uncertain dynamic intuitionistic fuzzy weighted averaging (UDIFWA) operator are pr...

Recently, the TODIM$^1$(an acronym in Portuguese of interactive and multi-criteria decision making) method has attracted increasing attention and many researchers have extended it to deal with multiple attribute decision making (MADM) problems under different situations. However, none of them can be used to handle MADM problems with positive, independent, and negative interactions among attribu...

Similarity measure is one of the most important measures of interval-valued intuitionistic fuzzy (IVIF) sets. This article will put forward a new similarity measure, which considers the impacts of membership degree, nonmembership degree and median point of IVIF sets. For cases with partially known attribute weight information in multi-attribute decision-making (MADM) problems, a new weighting m...

the recent years have witnessed an increasing attention to the methods of multiple attribute decision making in solving the problems of the real world due to their shorter time of calculation and easy application. one of these methods is the ‘permutation method’ which has a strong logic in connection with ranking issues, but when the number of alternatives increases, solving problems through th...

this paper applies a new multi attribute decision-making (madm) model to help companies for enterprise resource planning (erp) selection problem based on balanced score card method. this paper uses three-parameter interval grey numbers which is derived from grey theory (was proposed by j. deng). this numbers is used instead of linguistic variables. beside, a new weighting method that outcomes f...

In this paper, the multiple attribute decision making (MADM) problems are investigated with picture 2-tuple linguistic information. Then, based on Hamy mean (HM) operator and dual (DHM) operator, power average geometric operations utilized to develop some aggregation operators: weighted (P2TLPWHM) (P2TLPWDHM) ordered (P2TLPOWHM) (P2TLPOWDHM) hybrid (P2TLPHHM) (P2TLPHDHM) operator. The prominent...