In this paper, we propose new methods to represent interdependence among alternative attributes and experts’ opinions by constructing Choquet integral using interval-valued intuitionistic fuzzy numbers. In the sequel, we apply these methods to solve the multiple attribute group decision-making (MAGDM) problems under interval-valued intuitionistic fuzzy environment. First, the concept of interva...

This paper extends the technique for order preference by similarity to ideal solution (TOPSIS) for solving multi-attribute group decision making (MAGDM) problems under Atanassov intuitionistic fuzzy set (IFS) environments. In this methodology, weights of attributes and ratings of alternatives on attributes are extracted from fuzziness inherent in decision data and making process and described u...

In engineering design, the decision to select an optimal material has become a challenging task for the designers, and the evaluation of alternative materials may be based on some multiple attribute group decision making (MAGDM) methods. Moreover, the attributes are often inter-dependent or correlated in the real decision making process. In this paper, with respect to the material selection pro...

The intuitionistic uncertain fuzzy linguistic variable can easily express the fuzzy information, and the power average (PA) operator is a useful tool which provides more versatility in the information aggregation procedure. At the same time, Einstein operations are a kind of various t-norms and t-conorms families which can be used to perform the corresponding intersections and unions of intuiti...

The Pythagorean fuzzy soft set (PFSS) is the most proficient and manipulative leeway of (PFS), which contracts with parameterized values alternatives. It a generalized form intuitionistic (IFSS), provides healthier more accurate evaluations through decision-making (DM). main determination this research to prolong idea Einstein’s aggregation operators for PFSS. We introduce Einstein operational ...

The correlation coefficient between two variables plays an important role in statistics. Also, the accuracy of relevance assessment depends on information from a set discourses. data collected numerous statistical studies are full exceptions. Pythagorean fuzzy hypersoft (PFHSS) is parameterized family that deals with subattributes parameters and appropriate extension soft set. It also generaliz...

Hesitant fuzzy evaluation strategy related to the interval-valued membership and nonmembership degrees should be an appropriate choice due lack of experience, ability knowledge some decision experts. In addition, it is important reasonably model interrelationship these this work, firstly, generalized q-rung orthopair hesitant sets (GIVqROHFSs) are defined, operational rules with respect GIVqROF...

To finding appropriate recycling methods for plastic materials is a critical research issue and the effectiveness of new method being tested in this problem. Decision-making under conditions ambiguity can be difficult due to lack understanding incomplete information. The objective study enhance process selecting most suitable method. address uncertainty group decision-making, essay proposes usi...