A methodology for building interval type‐3 fuzzy systems based on the principle of justifiable granularity

Abstract

In this article a design methodology for Mamdani interval type-3 fuzzy systems with center-of-sets type reduction is outlined. The methodology utilizes statistical measures, fuzzy c-means clustering and granular computing, to establish the justifiable footprint of uncertainty (JFOU) of the fuzzy granules, as explainable semantic abstractions that form the fuzzy model. The design methodology is presented in three general steps, first we use the principle of justifiable granularity to build a diagram of the justifiable information granule that contains a data structure with the descriptive measures of the experimental evidence of the data set. These measures are obtained from the

Efficient Algorithms for Data Processing under Type-3 (and Higher) Fuzzy Uncertainty

“…Actually, people doubted that type-2 would be practically useful-and, as we have mentioned, it turned out that it is often useful. Similarly, it turned out that type-3 techniques are also useful in many practical cases; see, e.g., [13,14] and references therein. Examples of successful use of type-3 fuzzy techniques range from improving the quality of automatic tuning of a television image [15] to more accurate stock market predictions [16].…”

A New Method for the Design of Interval Type-3 Fuzzy Logic Systems With Uncertain Type-2 Non-Singleton Inputs (IT3 NSFLS-2): A Case Study in a Hot Strip Mill

“…In recent years, 2019-2022, important and novel papers were developed [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35],…”

“…The associate editor coordinating the review of this manuscript and approving it for publication was Qi Zhou. [36], [37], [38], [39], [40], [41], [42]: Castillo et al [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [28], [34], Castillo et al [4], [5], [6], [8], [9], [10], [11], [12], [13], [14], [18], [19], Castillo et al [4], [5], [8], [9], [10], [11], [13], [14], [18], Mohammadzadeh et al [15], [16], [20], [21]…”

“…The analysis of the state-of-the-art literature shows that IT3 models use singleton inputs [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42] and type-1, non-singleton inputs [32]. The applications of the IT3 FLS systems mainly covers the areas of: Mathematical theory [1], [2], [3], [4], [6], [11], [19], [24], [56], [57],…”