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This paper presents a summarized characterization of embedded type-1 fuzzy sets (ET1FS) by using the classical concept of convex combination given by Zadeh. ET1FSs are important when defining the centroid of an interval-valued fuzzy set (IVFS) and some type-reduction methods proposed in the literature. We will show that any ET1FS of an IVFS, with no assumption whatsoever about the universal set (either...
Petri nets serve as a graphical and mathematical modelling tool applicable to many systems. They can be represented in many ways. One of the most known and applicable representation of Petri nets is the linear-algebraic one. The aim of this paper is to present an original linear-algebraic representation of generalised fuzzy Petri nets. Such representation enables us an easy implementation, also parallel,...
This paper is devoted to the problem of measuring similarity between pieces of uncertain (incomplete) information in the framework of I-fuzzy set theory (Atanassov's intuitionistic fuzzy sets and interval-valued fuzzy sets). We propose a way of determining an interval-valued similarity measure of I-fuzzy sets that preserves information about the operands' uncertainty by approximating lower and upper...
Human behaviour representation and modelling in Smart Spaces are crucial tasks in Ambient Intelligence environments. A problem found among existing technologies is that the environment sensor data is always provided as crisp events. However, to model behaviour in reactive Smart Spaces we need to identify user patterns, which are not always performed in the same way or happening at the same time/frequency...
This paper continues the study of fuzzy interval logic based on the Checklist Paradigm by Kohout and Bandler. The fuzzy interval system of negation in m2 Goguen-Gaines's logic is investigated in depth. Since the m2 interval system of Goguen-Gaine's logic is non-commutative system, the interval negation of m2 is defined in consideration of the non-commutativity of system. And, the axioms of negation...
Creation and design of products based on human sensory perceptions, such as color, smell or taste, require the participation of professionals or experts with highly developed sensory abilities. When a group of experts is involved in such creative process as a team, consensus and group decision-making (GDM) techniques able to deal with qualitative descriptions and uncertainty, can be required. In this...
Issues on fuzzy reasoning by aggregating two types of ontologies that are used to formalize a patient state: mental ontology reflecting the patient mental behavior due to certain disorder and physical ontology reflecting the observed physical behavior exhibited through disorder. Similarity matching is used to find the similarity between fuzzy set reflected to mental fuzzy attributes (subjective type...
We introduce two new classes of single-parameter aggregation functions based upon the Tsallis q-exponential function of non-extensive statistical mechanics. These aggregation functions facilitate simple modeling of two different common human reasoning traits of “threshold” inference, where either: 1) at least one input must exceed a threshold in order to achieve a non-zero aggregation output, or 2)...
This paper proposes an enhanced fuzzy evidential reasoning (EFER) approach for decision making for means of water quality monitoring in the distribution networks under uncertain data and subjective knowledge. The proposed EFER approach can model epistemic uncertainties including ambiguity, interval-valued belief degrees and vagueness in information related to a complex system. Nonlinear optimization...
In this paper, a fuzzy rule-based system with final evidential aggregation is proposed to perform the relative quality assessment of drinking water in the water distribution network (WDN). Partially reliable sensor measurements, incomplete assessments as well as subjective information on water quality parameters (WQP) introduce uncertainty to the water quality assessment process. Historical data recorded...
Cost-sensitive learning is both hot and difficult in data mining and machine learning applications. Some research considers only one type of cost. Others convert two or more types of cost into the same unit, and then deal with a single-objective optimization problem. However, in many cases different types of cost cannot be converted. In this paper, we define and tackle multi-objective attribute reduct...
Fuzzy Formal Concept Analysis is a generalization of Formal Concept analysis (FCA) for modeling uncertain information and has been applied in recent years for supporting different activities of semantic web context. However Fuzzy FCA considers type-1 fuzzy rules and does not benefit the opportunities provided by type-2 fuzzy systems. The heterogeneity and imprecision of data on the internet in one...
Geographically correlated data are often represented in a gridded format: a grid that covers the region of interest divides the map in cells, and a value is associated with each cell of this grid. This is for instance the case for land use information, air pollution data, etc. The value is considered representative for the entire grid cell, but the grid cell is considered to be the smallest unit....
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