Temat: Fuzzy topology - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Fuzzy regions: interpretations of surface area and distance
Autorzy:: Verstraete, J.
Powiązania:: https://bibliotekanauki.pl/articles/970936.pdf
Data publikacji:: 2009
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: fuzzy topology
fuzzy EIS
fuzzy surface
fuzzy distance
Opis:: This contribution concerns the modelling of fuzzy information in geographic databases. For this purpose, fuzzy regions and fuzzy points have been defined in the past, along with a number of suitable operations. For numerical information - such as the surface area of fuzzy regions, or the distance between fuzzy regions and/or fuzzy points - the computation depends on the interpretation given to the fuzzy regions or points. Consequently, it is important to differentiate between the interpretation in order to obtain correct results. This article explains in detail the impact of the interpretation in terms of both the surface area and the distance.
Źródło:: Control and Cybernetics; 2009, 38, 2; 509-526
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Fuzzy mappings
Autorzy:: Heilpern, Stanisław
Powiązania:: https://bibliotekanauki.pl/articles/747379.pdf
Data publikacji:: 1983
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Fuzzy topology
Fuzzy set theory
Fixed-point and coincidence theorems
Opis:: .
Let X be the class of all fuzzy subsets of a metric space X. A fuzzy subset A is called an approximate value if A is a closed and convex fuzzy subset with supA(x)=1; the class of all such elements is denoted by W(X), and it is a metric space with the distance D(A,B)=sup dist(Aα,Bα), where Aα and Bα denote the α-level of A and B, respectively, and dist( , ) denotes the generalized Hausdorff distance [see, e.g., M. P. Chen and M. H. Shin , J. Math. Anal. Appl. 71 (1979), no. 2, 516–524; MR0548780]. The author is especially concerned with W(R). Algebraic operations in W(R) are defined and basic rules for arithmetic operations on approximate values are proved. Moreover, functions with values in W(R) are also investigated. Finally, a fixed point theorem for fuzzy mappings is stated and an example is given [for the proof see the author, ibid. 83 (1981), no. 2, 566–569; MR0641351].
Źródło:: Mathematica Applicanda; 1983, 11, 22
1730-2668
2299-4009
Pojawia się w:: Mathematica Applicanda
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: On the evaluation of compatibility with gradual rules in information systems : a topological approach
Autorzy:: Kortelainen, J.
Powiązania:: https://bibliotekanauki.pl/articles/205981.pdf
Data publikacji:: 1999
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: analiza danych
topologia
zbiór rozmyty
data analysis
knowledge acquisition
L-fuzzy sets
modifier logic
rough sets
topology
Opis:: The paper presents an approach to detecting dependence of a decision-maker's actions (or decisions) on conditions with respect to a certain type of fuzzy rules, namely gradual rules. Gradual rules are of the form "the more c is C, the more d is D", where C and D are L-fuzzy sets on the domain of the attributes c and d with membership values possibly in different lattices, respectively. The decision-maker's actions and conditions for those are found in a data base-like system, called an information system. We use the information system to define relations corresponding to L-fuzzy sets, and we define weakening modifiers by these relations. These modifiers are closure operators in the corresponding topologies, and we can define fineness relation between L-fuzzy sets. This relation is useful when comparing different decision-maker's actions. We define strong degree and topological degree of depedence of the attributes (with respect to a gradual rule), and we study some properties of those. Finally, we present a small application.
Źródło:: Control and Cybernetics; 1999, 28, 1; 121-131
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

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