In this paper, an interval-valued Pythagorean triangular fuzzy number (IVPTFN) as a useful tool to handle decision-making problems with vague quantities is defined. Then, their operational laws are developed. By introducing a novel method of making a decision on the concept of possibility theory, a multi-attribute group decision-making (MAGDM) problem is considered, in which the attribute value...

In this paper, we investigate the multiple attribute decision making (MADM) problem based on the arithmetic and geometric aggregation operators with hesitant fuzzy linguistic information. Then, motivated by the idea of traditional arithmetic operation, we have developed some aggregation operators for aggregating hesitant fuzzy linguistic information: hesitant fuzzy linguistic weighted average (...

Interval type-2 fuzzy sets, each of which is characterized by the footprint of uncertainty, are a very useful means to depict the linguistic information in the process of decision making. In this article, we investigate the group decision making problems in which all the linguistic information provided by the decision makers is expressed as interval type-2 fuzzy decision matrices where each of ...

this paper presents a multi-attribute decision-making model to rank and select the best zones of the city of tehran in order to add new emergency services. the purpose of this decision-making problem is to prioritize the zones having a higher need to emergency services, so that the emergency services to people in different zones get optimized. a multi-criteria decision making model is presented...

Multiple-attribute decision making in the presence of independence between attributes, the shortage of quantitative value of one attribute can be compensated with that of other attributes. But, many a times, this is not true. On another side, the quantitative value of one attribute is treated as equally important in different intervals. However, this violates the law of diminishing marginal rat...