A summary on the symbolic basic arithmetic operators and aggregation operators of linguistic information developed by the authors is presented. In particular, label addition, label diierence, product of a label by a positive real number, and convex combination of labels are shown as the symbolic basic arithmetic operators, and two aggregation operators of linguistic information built using thos...

Fuzzy inference process usually involves the use of fuzzy rule base consisting in several fuzzy rules. Overall output can be obtained by aggregation of outputs of all rules. To obtain an output of individual rule the relevancy of this rule is calculated. Then the individual output is obtained from the relevancy and the consequent of the rule. Such process can be realised using an operator that ...

We develop a new approach for decision making with Dempster-Shafer theory of evidence by using uncertain information represented in the form of interval numbers. We suggest the use of different types of uncertain aggregation operators in the problem. Then, we obtain new aggregation operators such as the belief structure uncertain ordered weighted averaging (BSUOWA) operator and the BS uncertain...

Our paper demonstrates that aggregation operator characteristics count as a promising avenue for applied fuzzy set research. It is shown by means of two cases that these characteristics are particularly valuable as proxies for hard to measure domain knowledge within the fields of customer satisfaction and country-oforigin. More in detail, the uninorm’s neutral element could be identified as a u...

In this paper a new aggregation operator for a class of LR Fuzzy Numbers i.e., Triangular Fuzzy Numbers (TFNs) in which the Land Rapex angles of the piecewise continuous linear membership function of the composite or resultant or aggregate TFN are the arithmetic means of the corresponding Land Rapex angles of the individual TFNs is proposed. The Land Rapex angles have been treated independently...

Lipschitzian aggregation operators with respect to the natural T indistinguishability operator ET and their powers, and with respect to the residuation → T with respect to a t-norm T and its powers are studied. A t-norm T is proved to be ET -Lipschitzian and → T -Lipschitzian, and is interpreted as a fuzzy point and a fuzzy map as well. Given an Archimedean t-norm T with additive generator t, t...

A fuzzy mapping aggregation operator based on RIMER and its application in Chinese word semantic proofing system for special domain are discussed deeply in this paper. Firstly, the fuzzy mapping aggregation operator based on RIMER are introduced and followed by the corresponding fuzzy inference method. Secondly, the collection of the sensitive words and their substitutions and the soft inferenc...

We introduce the uncertain generalized probabilistic weighted averaging (UGPWA) operator. It is an aggregation operator that unifies the probability and the weighted average in the same formulation considering the degree of importance that each concept has in the aggregation. Moreover, it is able to assess uncertain environments that can not be assessed with exact numbers but it is possible to ...

For a few years, on-line analysis processing (OLAP) and data mining have known parallel and independent evolutions. Some recent studies have shown the interest of the association of these two fields. Currently, we attend the increase of a more elaborated analysis's need. We think that the idea of coupling OLAP and data mining will be able to fulfill this need. We propose to adopt this coupling ...

The aim of this paper is to present the first considerations and examples of interval– valued aggregation operators, which allow to extend the usual concept of aggregation operator. We will define this new kind of operators and present its basic properties, as well as the main requirements needed to maintain the properties of standard aggregation operators. Finally, we present a characterizatio...