2016
DOI: 10.1016/j.asoc.2014.12.010
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Optimization of interval type-2 fuzzy systems for image edge detection

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Cited by 143 publications
(39 citation statements)
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“…There is multiple works using Type-2 FLS applied to different optimization problems, the use of this technique significantly improves the results, consult in [2,5,20,25]. The principles of Type-2 FLS can be consulted in [17,[26][27][28][29]. We decided to combine fuzzy logic with our proposal based on works found in the literature, where it is shown that type 2 fuzzy controllers offer a higher performance when applied to robust problems.…”
Section: Proposed Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…There is multiple works using Type-2 FLS applied to different optimization problems, the use of this technique significantly improves the results, consult in [2,5,20,25]. The principles of Type-2 FLS can be consulted in [17,[26][27][28][29]. We decided to combine fuzzy logic with our proposal based on works found in the literature, where it is shown that type 2 fuzzy controllers offer a higher performance when applied to robust problems.…”
Section: Proposed Methodsmentioning
confidence: 99%
“…The robot body is symmetrical around the perpendicular axis and the center of mass is at the geometric center of the body. It has two driving wheels that are fixed to the axis that passes through the center of mass "C" represented by {C, Xm, Ym}, and one passive wheel that prevents the robot from tipping over as it moves on a plane [26,27]. The dynamics of the mobile robot is represented by the following set of Equations (6) and (7), [5,29,36].…”
Section: Problem To Be Optimizedmentioning
confidence: 99%
“…Hence, a type‐2 membership grade can be any subset in the range [0, 1]. With respect to each primary membership, there is an existence of secondary membership that briefs the possible formulation of primary membership, which can also lie between 0 and 1 . The concept of uncertainty is characterized by a region and it is notified as the Foot Print of Uncertainty (FOU).…”
Section: Methodsmentioning
confidence: 99%
“…With respect to each primary membership, there is an existence of secondary membership that briefs the possible formulation of primary membership, which can also lie between 0 and 1. 15,23,24 The concept of uncertainty is characterized by a region and it is notified as the Foot Print of Uncertainty (FOU). When we describe là x; u ð Þ51; 8u 2 J x ½0; 1, we can obtain an interval type-2 membership function.…”
Section: Interval Type-2 Fuzzy C-meansmentioning
confidence: 99%
“…For example, the popular ANFIS model for T1 fuzzy systems [24] combines mathematical programming (least squares estimation) and a gradient-based algorithm in its optimization. EC algorithms are recommended for the optimization of IT2 fuzzy systems, because derivatives are difficult to compute in an IT2 fuzzy system (especially when the LMF and/or UMF formulas include tests about the location of their independent variable), and such algorithms are globally convergent [34], [4], [15], [44], [28]. There are many such EC algorithms, e.g., genetic algorithms, simulated annealing, particle swarm optimization, etc.…”
Section: Fuzzymentioning
confidence: 99%