Journal ArticleDOI
On various eigen fuzzy sets and their application to image reconstruction
TLDR
Treating images as fuzzy relations, two algorithms of generating eigen fuzzy sets that are used in the reconstruction process are proposed and it is confirmed that the approximation error of the first algorithm is decreased to 41.5% of that of the conventional one.About:
This article is published in Information Sciences.The article was published on 2006-10-01. It has received 61 citations till now. The article focuses on the topics: Fuzzy set operations & Fuzzy number.read more
Citations
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Journal ArticleDOI
A survey on fuzzy relational equations, part I: classification and solvability
Pingke Li,Shu-Cherng Fang +1 more
TL;DR: Nessary and sufficient conditions for the solvability of fuzzy relational equations are discussed and solution sets are characterized by means of a root or crown system under some specific assumptions.
Journal ArticleDOI
On the minimal solutions of max--min fuzzy relational equations
TL;DR: A sufficient and necessary condition, for discriminating whether a given solution is minimal or not, is shown and a new algorithm for computing all minimal solutions less than or equal to a given one is proposed.
Journal ArticleDOI
A high performance edge detector based on fuzzy inference rules
TL;DR: A novel edge detector based on fuzzy If-Then inference rules and edge continuity is proposed, which is very robust to noise and can work well under high level noise situations, while other edge detectors cannot.
Journal ArticleDOI
Latticized linear programming subject to max-product fuzzy relation inequalities with application in wireless communication
TL;DR: The latticized linear programming problem subject to max-product fuzzy relation inequalities with application in the optimization management model of wireless communication emission base stations and a solution matrix approach is developed for solving the proposed problem without finding all the (quasi-) minimal solutions of the constraint.
Journal ArticleDOI
Fuzzy linear optimization in the presence of the fuzzy relation inequality constraints with max-min composition
Amin Ghodousian,Esmaile Khorram +1 more
TL;DR: Fuzzy inequalities enable us to attain the optimal points that are better solutions than those resulting from the resolution of the similar problems with Ordinary Inequality constraints and an algorithm to generate such optimal solutions is presented.
References
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Journal ArticleDOI
A lattice-theoretical fixpoint theorem and its applications
TL;DR: In this paper, the authors formulate and prove an elementary fixpoint theorem which holds in arbitrary complete lattices, and give various applications (and extensions) of this result in the theories of simply ordered sets, real functions, Boolean algebras, as well as in general set theory and topology.
Journal ArticleDOI
Convergence of powers of a fuzzy matrix
TL;DR: In this paper, some sufficient conditions for convergence under “max(min)” products of the powers of a square fuzzy matrix and of a fuzzy state process are established.
Journal ArticleDOI
Generalized fuzzy matrices
Ki Hang Kim,Fred W. Roush +1 more
TL;DR: Criteria for a fuzzy matrix to be regular is given and it is proved that the row and column rank of any regular fuzzy matrix are equal, and the cardinality of any two bases are equal.
Journal ArticleDOI
Resolution of Eigen fuzzy sets equations
TL;DR: Algorithms for the determination of the greatest eigen fuzzy set associated with a given fuzzy relation, thinking of medical diagnosis applications are described.
Journal ArticleDOI
Fuzzy relation equations for coding/decoding processes of images and videos
Vincenzo Loia,Salvatore Sessa +1 more
TL;DR: The peak signal to noise ratio (PSNR) on the decompressed images for several values of the compression rates is evaluated as measure of the quality of images and frames reconstructed.
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