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Fuzzy Information and Engineering

Publisher:
Taylor & Francis
Taylor & Francis
ISSN:
1616-8666
Scimago Journal Rank:
18
journal article
Open Access Collection
Fuzzy Based Directional Weighted Median Filter for Impulse Noise Detection and Reduction

R, Riji; Pillai, Keerthi A S; Nair, Madhu S.; Wilscy, M.

2012 Fuzzy Information and Engineering

doi: 10.1007/s12543-012-0120-2

AbstractThe known median-based denoising methods tends to work well for restoring the images corrupted by random-valued impulse noise with low noise level, but it fails in denoising highly corrupted images. In this paper, a new noise reduction method based on directional weighted median based fuzzy impulse noise detection and reduction method (DWMFIDRM) has been proposed, which has been specially developed for denoising all categories of impulse noise. The contribution of this paper is threefold. The main contribution of the novel impulse noise reduction technique lies in the unification of three different methods; the impulse noise detection phase utilizing the concept of fuzzy gradient values, edge-preserving noise reduction phase based on the directional weighted median of the neighboring pixels and a final filtering step in order to deal with noisy pixels of non-zero degree. Such a unique combination has improved the efficiency of this method for high density noise removal. The experimental results of our proposed method have a significant improvement when compared to other existing filters for high density noise removal. This paper utilizes the concept of fuzzy gradient values. The noise reduction phase that preserves edge sharpness is based on the directional weighted median of neighboring pixels. Final filtering phase is performed only when there is non-zero degree of noise pixels. This phase makes our method more efficient in high noise density. Experimental results show that DWMFIDRM provides a significant improvement on other existing filters.
journal article
Open Access Collection
Some Properties of Generalized Intuitionistic Fuzzy Nilpotent Matrices over Distributive Lattice

Adak, Amal Kumar; Bhowmik, Monoranjan; Pal, Madhumangal

2012 Fuzzy Information and Engineering

doi: 10.1007/s12543-012-0121-1

AbstractIn this paper, the concept of lattice over generalized intuitionistic fuzzy matrices (GIFMs) are introduced and have shown that the set of GIFMs forms a distributive lattice. Some algebraic properties of generalized intuitionistic fuzzy matrices (GIFMs) are presented over distributive lattice. Also, some characteristics of generalized intuitionistic fuzzy nilpotent matrices (GIFNMs) are discussed over distributive lattice. Finally, the reduction of GIFNMs over distributive lattice are given with some properties.
journal article
Open Access Collection
Application of Atanassov's I-fuzzy Set Theory to Matrix Games with Fuzzy Goals and Fuzzy Payoffs

Aggarwal, A.; Dubey, D.; Chandra, S.; Mehra, A.

2012 Fuzzy Information and Engineering

doi: 10.1007/s12543-012-0123-z

AbstractWe aim to extend some results in [6, 7, 8, 21] on two person zero sum matrix games (TPZSMG) with fuzzy goals and fuzzy payoffs to I-fuzzy scenario. Because the payoffs of the matrix game are fuzzy numbers, the aspiration levels of the players are fuzzy as well. It is reasonable to believe that there is some indeterminacy in estimating the aspiration levels of both players from their respective expected pay offs. This situation is modeled in the game using Atanassov's I-fuzzy set theory. A new solution concept is proposed for such games and a procedure is outlined to obtain the degrees of suitability of the aspiration levels for each of the two players.
journal article
Open Access Collection
On Intutionistic Fuzzy Gpr-closed Sets

Thakur, S. S.; Bajpai, Jyoti Pandey

2012 Fuzzy Information and Engineering

doi: 10.1007/s12543-012-0125-x

AbstractIn this paper, a new class of intuitionistic fuzzy closed sets called intuitionistic fuzzy generalized preregular closed sets (briefly intuitionistic fuzzy gpr-closed sets) and intuitionistic fuzzy generalized preregular open sets (briefly intuitionistic fuzzy gpr-open sets) are introduced and their properties are studied. Further the notion of intuitionistic fuzzy preregular T1/2-spaces and intuitionistic fuzzy generalized preregular continuity (briefly intuitionistic fuzzy gpr-continuity) are introduced and studied.
journal article
Open Access Collection
Numerical Solutions of Fuzzy Differential Equations by Using Hybrid Methods

Prakash, P.; Kalaiselvi, V.

2012 Fuzzy Information and Engineering

doi: 10.1007/s12543-012-0126-9

AbstractIn this paper, we study the numerical solution of fuzzy differential equations by using hybrid Euler method and hybrid predictor-corrector method. These methods are used to increase the accuracy and the computing speed. Also examples are presented to illustrate the computational aspects of the above methods.
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