Normalized distance, similarity measure, inclusion measure and entropy of interval-valued fuzzy sets and their relationship

W Zeng, P Guo - Information Sciences, 2008 - Elsevier
In this paper, we introduce an axiomatic definition of an interval-valued fuzzy sets' inclusion
measure which is different from Bustince's [H. Bustince, Indicator of inclusion grade for …

Definition and construction of fuzzy DI-subsethood measures

H Bustince, V Mohedano, E Barrenechea, M Pagola - Information Sciences, 2006 - Elsevier
In this paper we study a method of construction of the fuzzy subsethood measures of VR
Young [VR Young, Fuzzy subsethood, Fuzzy Sets and Systems 77 (1996) 371–384] and the …

Supplier selection using a clustering method based on a new distance for interval type-2 fuzzy sets: A case study

A Heidarzade, I Mahdavi, N Mahdavi-Amiri - Applied Soft Computing, 2016 - Elsevier
Supplier selection is a decision-making process to identify and evaluate suppliers for
making contracts. Here, we use interval type-2 fuzzy values to show the decision makers' …

Fuzzy lattice reasoning (FLR) classifier and its application for ambient ozone estimation

VG Kaburlasos, IN Athanasiadis, PA Mitkas - International journal of …, 2007 - Elsevier
The fuzzy lattice reasoning (FLR) classifier is presented for inducing descriptive, decision-
making knowledge (rules) in a mathematical lattice data domain including space RN …

Quantitative rough sets based on subsethood measures

Y Yao, X Deng - Information Sciences, 2014 - Elsevier
Subsethood measures, also known as set-inclusion measures, inclusion degrees, rough
inclusions, and rough-inclusion functions, are generalizations of the set-inclusion relation for …

[HTML][HTML] On similarity and inclusion measures between type-2 fuzzy sets with an application to clustering

MS Yang, DC Lin - Computers & Mathematics with Applications, 2009 - Elsevier
In this paper we define similarity and inclusion measures between type-2 fuzzy sets. We
then discuss their properties and also consider the relationships between them. Several …

Generation of interval‐valued fuzzy and atanassov's intuitionistic fuzzy connectives from fuzzy connectives and from Kα operators: Laws for conjunctions and …

H Bustince, E Barrenechea… - International journal of …, 2008 - Wiley Online Library
In this paper, we study in‐depth certain properties of interval‐valued fuzzy sets and
Atanassov's intuitionistic fuzzy sets (A‐IFSs). In particular, we study the manner in which to …

Inclusion measures, similarity measures, and the fuzziness of fuzzy sets and their relations

W Zeng, H Li - International Journal of Intelligent Systems, 2006 - Wiley Online Library
The inclusion measure, the similarity measure, and the fuzziness of fuzzy sets are three
important measures in fuzzy set theory. In this article, we investigate the relations among …

[PDF][PDF] A survey of interval-valued fuzzy sets

H Bustince, J Montero, M Pagola, E Barrenechea - 2008 - docta.ucm.es
Zadeh presented the theory of fuzzy sets in 1965 [1]. From the beginning it was clear that this
theory was an extraordinary tool for representing human knowledge. Nevertheless, Zadeh …

[KÖNYV][B] Towards a unified modeling and knowledge-representation based on lattice theory: computational intelligence and soft computing applications

VG Kaburlasos - 2007 - books.google.com
By 'model'we mean a mathematical description of a world aspect. With the proliferation of
computers a variety of modeling paradigms emerged under computational intelligence and …