Commentary on “A new generalized improved score function of interval-valued intuitionistic fuzzy sets and applications in expert systems” [Appl. Soft Comput., 2016(38) 988-999]

This commentary points out the major mistakes in “a new generalized improved score function of interval-valued intuitionistic fuzzy sets and applications in expert systems”, which were initially proposed by Garg [Appl. Soft Comput., 2016(38) 988-999]. Firstly, some related basic mathematical symbols are introduced. Secondly, Garg's research results are reviewed. Subsequently, the errors of the generalized weighted averaging operators and the restrictiveness of the generalized score function proposed by Garg are discussed by using four counter-cases. Thereafter, the sources that lead to the errors of the operators and the restrictiveness of the score function are revealed. Finally, this commentary also points out some typo-grammatical errors in the commented paper.