in this paper, the concept of intuitionistic fuzzy mapping as a generalization of fuzzy mapping is presented, and its' relationship with intuitionistic fuzzy relations is derived. moreover, some basicoperations of intuitionistic fuzzy mappings are defined, hence we can conclude that all of intuitionistic fuzzy mappings constitute a soft algebrawith respect to these operations. afterwards, the a...

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...

Multiple criteria decision-making (MCDM) based on interval intuitionistic fuzzy value (IVIFV) is a process of aggregating decision represented by multiple interval-valued numbers to select the optimal alternative. Among them, an aggregation operator indispensable tool, and properties directly affect results. Existing operators IVIFV have satisfactory results in eliminating correlation between r...

Supplier selection can be considered as a complicated multi criteria decision-making problem.In this paper the problem of supplier selection is studied in the presence of conflicting evaluations and insufficient information about the criteria and different attitudes of decision makers towards the risk. Most of fuzzy approaches used in multi-criteria group decision making (MCGDM) are non-intuiti...

Abstract One of characteristics large-scale linguistic decision making problems is that information with respect to attributes derived from multi-sources information. In addition, the number makers, alternatives or criteria in context big data are increasingly large. Correlation analysis between has become an important issue problems. paper, we concentrate on correlation deal intuitionistic fuz...

Green supplier selection is an important part of green supply chain management. To improve the validity and reliability of green supplier selection, this paper constructed a model based on the improved intuitionistic fuzzy TOPSIS. Firstly, the concepts of intuitionistic fuzzy set and intuitionistic fuzzy number were given, and a series of algorithms and aggregation operators were defined; on th...

Selecting the right vendor from a large number of possible vendors is a non-trivial task, in which multiple criteria need to be examined carefully. The Multiple criteria decision making provides an effective framework for vendor comparison based on the evaluation of multiple conflict criteria. The decision maker’s information on the conflicting criteria is imprecise due to lack of time or lack ...

We generalize the power averaging operators to interval-valued Atanassov’s intuitionistic fuzzy environments, and develop a series of generalized interval-valued Atanassov’s intuitionistic fuzzy power aggregation operators. The main advantages of these operators are that they not only accommodate situations in which the input arguments are interval-valued intuitionistic fuzzy numbers (IVIFNs), ...

Complex intuitionistic fuzzy (CIF) information covers the degree of membership and non-membership in form polar coordinates with a valuable dominant characteristic where sum real parts (the same rule for imaginary parts) pair must be contained unit interval. In this paper, we first derive Frank operational laws CIF then examine prioritized aggregation operators based on managing theory informat...

New properties of intuitionistic fuzzy modal logic operators are discussed and these operators are interpreted as modifications of triangular norms and conorms, and as particular kinds of aggregation operations.