An Intuitionistic 2-Tuple Linguistic Information Model and Aggregation Operators
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Date
2016
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Publisher
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS
Abstract
Dealingwith uncertainty is always a challenging problem, and different tools have been proposed to
deal with it. Fuzzy setswas presented to manage situations in which experts have some membership
value to assess an alternative. The fuzzy linguistic approach has been applied successfully to many
problems. The linguistic information expressed by means of 2-tuples, which were composed by
a linguistic term and a numeric value assessed in [−0.5, 0.5). Linguistic values was used to
assess an alternative and variable in qualitative settings. Intuitionistic fuzzy sets were presented to
manage situations in which experts have some membership and nonmembership value to assess
an alternative. In this paper, the concept of an I2LI model is developed to provide a linguistic and
computational basis to manage the situations in which experts assess an alternative in possible
and impossible linguistic variable and their translation parameter. A method to solve the group
decision making problem based on intuitionistic 2-tuple linguistic information (I2LI) by the group
of experts is formulated. Some operational laws on I2LI are introduced. Based on these laws, new
aggregation operators are introduced to aggregate the collective opinion of decision makers. An
illustrative example is given to show the practicality and feasibility of our proposed aggregation
operators and group decision making method.