نتایج جستجو برای: interval valued functions

تعداد نتایج: 712326  

Journal: :Pattern Recognition Letters 2004
Marie-Hélène Masson Thierry Denoeux

The problem of clustering objects based on interval-valued dissimilarities is tackled in the framework of the Dempster-Shafer theory of belief functions. The proposed method assigns to each object a basic belief assignment (or mass function) defined on the set of clusters, in such a way that the belief and the plausibility that any two objects belong to the same cluster reflect, respectively, t...

2013
Izhar Ahmad Anurag Jayswal Jonaki Banerjee

*Correspondence: [email protected] 1Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia 2Permanent address: Department of Mathematics, Aligarh Muslim University, Aligarh, 202 002, India Full list of author information is available at the end of the article Abstract This paper is devoted to study interval-valued optimization p...

This paper is an attempt to generalize, simultaneously, the ring of real-valued continuous functions and the ring of real-valued measurable functions.

Journal: :TEMA - Tendências em Matemática Aplicada e Computacional 2009

2007
Arsham Borumand Saeid

In this note the notion of interval-valued fuzzy QS-algebra (briefly, i-v fuzzy QS-algebra), as well as the i-v level and strong i-v level QS-subalgebra is introduced. Several theorems which determine the relationship between these notions and QS-subalgebras are stated and proved. The images and inverse images of i-v fuzzy QS-subalgebras are defined, and how the homomorphic images and inverse i...

2008
JESÚS ARAUJO

We characterize all compact and Hausdorff spaces X which satisfy that for every multiplicative bijection φ on C(X, I), there exist a homeomorphism μ : X −→ X and a continuous map p : X −→ (0,+∞) such that φ(f)(x) = f(μ(x)) for every f ∈ C(X, I) and x ∈ X. This allows us to disprove a conjecture of Marovt (Proc. Amer. Math. Soc. 134 (2006), 1065-1075). Some related results on other semigroups of...

2000
SUNG MIN HONG YOUNG BAE JUN SEON JEONG GWANG IL KIM

The purpose of this paper is to define the notion of an interval-valued fuzzy BCI-subalgebra (briefly, an i-v fuzzy BCI-subalgebra) of a BCI-algebra. Necessary and sufficient conditions for an i-v fuzzy set to be an i-v fuzzy BCI-subalgebra are stated. A way to make a new i-v fuzzy BCI-subalgebra from old one is given. The images and inverse images of i-v fuzzy BCI-subalgebras are defined, and ...

2012
Glad Deschrijver

Interval-valued fuzzy set theory is an extension of fuzzy set theory in which the real, but unknown, membership degree is approximated by a closed interval of possible membership degrees. Since implications on the unit interval play an important role in fuzzy set theory, several authors have extended this notion to interval-valued fuzzy set theory. This chapter gives an overview of the results ...

Journal: :Mediterranean Journal of Mathematics 2021

The present paper is concerned with the study of vector-valued interpolation functions on Sierpiński gasket by certain classes fractal functions. This extends known results real-valued and a compact interval in $${\mathbb {R}}$$ gasket. We smoothness property interpolants A few elementary properties approximants operator that emerge connection are indicated. Some constrained approximation aspec...

Dechao Li

It is firstly proved that the multi-input-single-output (MISO) fuzzy systems based on interval-valued $R$- and $S$-implications can approximate any continuous function defined on a compact set to arbitrary accuracy.  A formula to compute the lower upper bounds on the number  of interval-valued fuzzy sets needed to achieve a pre-specified approximation  accuracy for an arbitrary multivariate con...

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