Since Atanassov introduced the concept of intuitionistic fuzzy set (IFS) in 1986, much work has been done to develop decision making models with it as the information representation format. A problem that needs to be addressed in this type of decision making environment is the ranking of intuitionistic fuzzy numbers (IFNs). However, it is well known that there is no unique best approach to achi...

In this paper, we propose a method to calculate the correlation coefficient of generalized intuitionistic fuzzy sets by means of "centroid". The value which obtained from this method tell us the strength of relationship between the generalized intuitionistic fuzzy sets [11] and the whether the generalized intuitionistic fuzzy sets are positively or negatively related. This method looks better t...

Intuitionistic fuzzy rough sets are investigated in a general framework which includes generalizations of many related results in early literatures. A new definition of intuitionistic fuzzy rough sets is given with the analysis of its basic properties based on the notion of two universes, general binary relations, and a pair ðT , IÞ of intuitionistic fuzzy t-norm T and intuitionistic fuzzy impl...

Maji et al. introduced the concept of intuitionistic fuzzy soft sets, which is an extension to the soft set and intuitionistic fuzzy set. In this paper, we apply the concept of intuitionistic fuzzy soft sets to semigroup theory. The notion of intuitionistic fuzzy soft ideals over a semigroup is introduced and their basic properties are investigated. Some lattice structures of the set of all int...

In this paper, we investigate the technique for clustering objects with intuitionistic fuzzy information. We first propose a formula to derive the intuitionistic fuzzy similarity degree between two intuitionistic fuzzy sets and develop an approach to constructing an intuitionistic fuzzy similarity matrix. Then, we present a netting method to make clustering analysis of intuitionistic fuzzy sets...

in this paper, we propose a new definition of intuitionistic fuzzyquasi-metric and pseudo-metric spaces based on intuitionistic fuzzy points. weprove some properties of intuitionistic fuzzy quasi- metric and pseudo-metricspaces, and show that every intuitionistic fuzzy pseudo-metric space is intuitionisticfuzzy regular and intuitionistic fuzzy completely normal and henceintuitionistic fuzzy nor...

In this paper, a new environment namely, intuitionistic fuzzy hypersoft set (IFHSS) is defined. We introduce some fundamental operators of sets such as subset, null set, absolute complement, union, intersection, equal etc. Validity and application are presented with appropriate examples. For greater precision accuracy, in the future, proposed operations decision making processes personal select...