The Heronian mean provides an aggregation operator that considers the inter-dependent phenomena among the aggregated arguments. Nevertheless, it seems that the existing literatures only consider the HM for aggregating crisp numbers rather than any other types of arguments. In this paper, the HM under interval-valued intuitionistic fuzzy environments is studied. First, a generalized interval-val...

Internet users are assisted by means of distributed intelligent agents in the information gathering process to find the fittest information to their needs. In this paper we present a distributed intelligent agent model where the communication of the evaluation of the retrieved information among the agents is carried out by using linguistic operators based on the 2-tuple fuzzy linguistic represe...

In this paper, we extend the distance measure to the linguistic fuzzy sets, and develop the linguistic distance operators, such as linguistic weighted distance (LWD) operator, linguistic ordered weighted distance (LOWD) operator, and study some of their desired properties. These aggregation operators are very useful for decision-making problems because they establish a comparison between an ide...

In this work, we present definition of intuitionistic fuzzy parameterized (IFP ) intuitionistic fuzzy soft set and its operations. Then we define IFP -aggregation operator to form IFP -intuitionistic fuzzy soft-decision-making method which allows constructing more efficient decision processes.

With respect to the problems of aggregation about group experts’ information and dynamic decision in DEMATEL (decision making trial and evaluation laboratory), a dynamic DEMATEL group expert decision-making method on intuitionistic fuzzy number (IFN) is presented. Firstly using IFN instead of original point estimates to reflect the experts’ preference, the group experts’ information are integra...

The notion of the interval-valued intuitionistic fuzzy set (IVIFS) is a generalization of that of the Atanassov’s intuitionistic fuzzy set. The fundamental characteristic of IVIFS is that the values of its membership function and non-membership function are intervals rather than exact numbers. There are various averaging operators defined for IVIFSs. These operators are not monotone with respec...

141 Abstract Neutrosophic sets, being generalization of classic sets, fuzzy sets and intuitionistic fuzzy sets, can simultaneously represent uncertain, imprecise, incomplete, and inconsistent information existing in the real world. Neutrosophic theory has been developed in twenty first century and not much of arithmetic has been developed for this set. To solve any problem using neutrosophic da...

Information Retrieval Systems (IRSs) based on an ordinal fuzzy linguistic approach present some problems of loss of information and lack of precision when working with discrete linguistic expression domains or when applying approximation operations in the symbolic aggregation methods. In this paper, we present a new IRS model based on the 2-tuple fuzzy linguistic approach, which allows us to ov...

This paper proposes a new approach to solve the multiple attribute group decision making (MAGDM) problem where attribute values are in the format of uncertain linguistic information and attribute weights are in the format of linguistic information. Firstly, concepts and comparison laws of uncertain 2-tuple are given. Then, an uncertain 2-tuple ordered weighted averaging (UTOWA) operator is used...

In this paper we present a method for the construction of Atanassov’s intuitionistic fuzzy S-implications that satisfy the following property: if in the intuitionistic fuzzy conditional the antecedent is equal to the consequent, then the Atanassov’s intuitionistic fuzzy implication operator has the same Atanassov’s intuitionistic fuzzy index as the antecedent and the consequent.