Distance functions from fuzzy logic connectives: a state-of-the-art survey

K Nanavati, M Gupta, B Jayaram - Fuzzy Sets and Systems, 2024 - Elsevier
While fuzzy logic connectives were seen as generalisations of classical logic connectives,
their utility has extended beyond their intended use and context. One interesting avenue of …

Decision-making with distance measures and induced aggregation operators

JM Merigo, M Casanovas - Computers & Industrial Engineering, 2011 - Elsevier
In this paper, we present a new decision-making approach that uses distance measures and
induced aggregation operators. We introduce the induced ordered weighted averaging …

Distance measures, weighted averages, OWA operators and Bonferroni means

JM Merigó, D Palacios-Marqués, P Soto-Acosta - Applied Soft Computing, 2017 - Elsevier
The ordered weighted average (OWA) is an aggregation operator that provides a
parameterized family of operators between the minimum and the maximum. This paper …

Non-additive measures

V Torra, Y Narukawa, M Sugeno - Theory and Applications, 2014 - Springer
A measure assigns values to sets and generalizes the concept of length, area and volume.
Probability measures are a well known example of measures. Lebesgue measures are …

[HTML][HTML] The uncertain probabilistic OWA distance operator and its application in group decision making

S Zeng, JM Merigo, W Su - Applied Mathematical Modelling, 2013 - Elsevier
In this paper, we present the uncertain probabilistic ordered weighted averaging distance
(UPOWAD) operator. Its main advantage is that it uses distance measures in a unified …

Norms induced from OWA operators

RR Yager - IEEE Transactions on Fuzzy Systems, 2009 - ieeexplore.ieee.org
We describe the basic properties of a norm and introduce the Minkowski norm. We then
show that the OWA aggregation operator can be used to provide norms. To enable this we …

Learning Choquet-integral-based metrics for semisupervised clustering

G Beliakov, S James, G Li - IEEE Transactions on Fuzzy …, 2011 - ieeexplore.ieee.org
We consider an application of fuzzy measures to the problem of metric learning in
semisupervised clustering. We investigate the necessary and sufficient conditions on the …

Some intuitionistic fuzzy weighted distance measures and their application to group decision making

S Zeng - Group decision and Negotiation, 2013 - Springer
Abstract Xu and Chen (J Syst Sci Syst Eng 17: 432–445, 2008) introduced a new decision-
making technique called the ordered weighted distance (OWD) measure, having been …

Extension of the fuzzy integral for general fuzzy set-valued information

DT Anderson, TC Havens, C Wagner… - … on Fuzzy Systems, 2014 - ieeexplore.ieee.org
The fuzzy integral (FI) is an extremely flexible aggregation operator. It is used in numerous
applications, such as image processing, multicriteria decision making, skeletal age-at-death …

Aggregation of preferences in recommender systems

G Beliakov, T Calvo, S James - Recommender systems handbook, 2011 - Springer
This chapter gives an overview of aggregation functions toward their use in recommender
systems. Simple aggregation functions such as the arithmetic mean are often employed to …