Enhanced linguistic computational models and their similarity with Yager’s computing with words

A gentle introduction and survey on Computing with Words (CWW) methodologies

“…A remarkable work [5], has reasoned the supremacy of AEPCM and IFSCM over the EPCM as well as RSCM over the SMCM. Further, there has been a number of works in the literature where the IT2 FS based Perceptual Computing has been shown to possess much better performance than the EPCM, SMCM and 2TPCM.…”

“…AEPCM was proposed in [5], as an improvement of EPCM (discussed in Section 2.1). The AEPCM can be utilized for achieving CWW in scenarios the users' linguistic preferences carry different importance and hence can be assigned different weights.…”

“…In this step, the mapped linguistic information from previous step is combined by performing the weighted aggregation, using the concept of a-cuts given in [5]. If the tri-tuple of a randomly selected linguistic user preference from (7) and its associated weight from ( 8) are given respectively as…”

“…10 For detailed computations, please see [5] where I T iÀ1 and I T i are the indices of the remaining terms from the user linguistic preference vector (26), and w 0 iÀ1 and w 0 i are their respective associated weights.…”

“…Recently there has been a surge in the area of CWW methodologies, which is evident from numerous literary works being contributed in this direction. The popular CWW methodologies proposed in the literature (as per our knowledge so far) are: Extension Principle based CWW methodology (EPCM) [5], Augmented Extension Principle based CWW methodology (AEPCM) [5], Intuitionistic Fuzzy Sets (IFS) based CWW methodology (IFSCM) [5], Symbolic Method based CWW methodology (SMCM) [5], Rough Sets based CWW methodology (RSCM) [5], 2-tuple based CWW methodology (2TPCM) [6,7], Perceptual Computing [3], Linear General Type-2 (LGT2) Fuzzy Sets based CWW methodology (LFSCM) [8], and General Type-2 (GT2) Fuzzy Sets based CWW methodology (GFSCM 5 ) [9]. These CWW methodologies use different units of uncertainty for modeling the word semantics.…”