In multiple-attribute decision-making (MADM) problems, ranking the alternatives is an important step for making best decision. Intuitionistic fuzzy numbers (IFNs) are a powerful tool expressing uncertainty and vagueness in MADM problems. However, existing methods IFNs do not consider probabilistic dominance relationship between alternatives, which can lead to inconsistent inaccurate rankings. t...

A numerical method called Multiple Attribute Decision Making (MADM) has been used for rational selection of a cotton harvester out of a finite number of cotton harvesters available the world over. In India, efforts are being made to design and develop a commercial cotton harvester to harvest selected cotton varieties sown by adopting common agronomic practices locally for cotton cultivation. Th...

Multiple attribute decision making forms an important part of the decision process for both small (individual) and large (organization) problems. When available information is precise, many methods exist to solve this problem. But the uncertainty and fuzziness inherent in the structure of information make rigorous mathematical models inappropriate for solving this type of problems. This paper i...

Selection of a most appropriate material is a very important task in design process of every product. There is a need for simple, systematic, and logical methods or mathematical tools to guide decision makers in considering a number of selection attributes and their interrelations and in making right decisions. This paper proposes a novel multiple attribute decision making (MADM) method for sol...

Considering corresponding credibility on every evaluation value of interval neutrosophic numbers (INNs) in interval neutrosophic decision making, we put forward two interval neutrosophic weighted aggregation operators considering credibility, including a credibility-induced interval neutrosophic weighted arithmetic averaging (CIINWAA) operator and a credibility-induced interval neutrosophic wei...

This paper presents a fuzzy multi-attribute decision-making algorithm for evaluating flexibility in a manufacturing system development. This evaluation problem is formulated as a multi-attribute decision-making model in a fuzzy environment and solved by a fusion method based on the MEOWA operators. While evaluating the degree of manufacturing flexibility (MF), one may find the need for improvin...

In this paper, we develop an interactive method for multiple attribute group decision making under fuzzy environment. The method can be used in situations where the information about attribute weights is partly known, the weights of decision makers are expressed in exact numerical values or triangular fuzzy numbers, and the attribute values are triangular fuzzy numbers. The method transforms fu...

We consider extensions of some classical rational axioms introduced in conventional choice theory to valued preference relations. The concept of kernel is revisited using two ways: one proposes to determine kernels with a degree of qualification and the other presents a fuzzy kernel where every element of the support belongs to the rational choice set with a membership degree. Links between the...

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...

Recently, the TODIM has been used to solve multiple attribute decision making (MADM) problems. The single-valued neutrosophic sets (SVNSs) are useful tools to depict the uncertainty of the MADM. In this paper, we will extend the TODIM method to the MADM with the single-valued neutrosophic numbers (SVNNs). Firstly, the definition, comparison, and distance of SVNNs are briefly presented, and the ...