Ranking of interval-valued intuitionistic fuzzy numbers (IVIFNs) is an important task for solving real-life Decision-Making problems. It a potential area research that has attracted the researchers working in mathematics. Researchers worldwide are looking unique ranking principle can be used to discriminate any two arbitrary IVIFNs. Various functions on set IVIFNs have been proposed. However, e...

There exist some fuzziness and uncertainty in the process of ecological construction. The aim of this paper is to develop a direct and an effective simplified method for obtaining the cost-sharing scheme when some interested parties form a cooperative coalition to improve the ecological environment of Min River together. Firstly, we propose the solution concept of the least square prenucleolus ...

Centroid and spread are commonly used approaches in ranking fuzzy numbers. Some experts rank fuzzy numbers using centroid or spread alone while others tend to integrate them together. Although a lot of methods for ranking fuzzy numbers that are related to both approaches have been presented, there are still limitations whereby the ranking obtained is inconsistent with human intuition. This pape...

Ranking of fuzzy numbers play an important role in decision making, optimization, forecasting etc. Fuzzy numbers must be ranked before an action is taken by a decision maker. In this paper, with the help of several counter examples it is proved that ranking method proposed by Chen and Chen (Expert Systems with Applications 36 (2009) 6833-6842) is incorrect. The main aim of this paper is to prop...

Ranking fuzzy numbers is an important tool in decision process. In fuzzy decision analysis, fuzzy quantities are used to describe the performance of alternative in modeling a real-world problem. Most of the ranking procedures proposed so far in literature cannot discriminate fuzzy quantities and some are counterintuitive. As fuzzy numbers are represented by possibility distributions, they may o...

Ranking of fuzzy numbers play an important role in decision making, optimization, forecasting etc. fuzzy numbers must be ranked before an action is taken by a decision maker. In this paper we propose a new approach of the fuzzy ranking of generalized trapezoidal fuzzy numbers based on radius of gyration point of centroids. The main advantage of the proposed approach is that the proposed approac...

The uncertainty of intuitionistic fuzzy numbers (IFNs) is further enhanced by the existence degree hesitation (DH). shortcomings existing researches are mainly reflected in following situations: when comparing IFNs, comparison rules IFNs difficult to apply any two or relevant methods do not fully consider expressed DH. Thus, rationality decision results needs be improved. On other hand, multi-a...

Ranking fuzzy numbers is one of very important research topics in fuzzy set theory because it is a base of decision-making in all application areas. However, fuzzy numbers cannot be easily arranged in the order of magnitude because they represent uncertain and vague values. When two fuzzy numbers overlap with each other, a fuzzy number may not be considered absolutely larger than the other. Tha...