In this paper, a linguistic truth-value lattice proposition logic system LTV LP (X) is presented firstly. It is an useful and reasonable tool to deal with the linguistic term set including linear ordered set and non-linear ordered set. Then an operator linguistic truth-value lattice-valued proposition logic OLTV LP (X) is given. The OLTV LP (X) can provide a theoretical model for multi-evaluato...

the benefits of textual input enhancement in the acquisition of linguistic forms have produced mixed results in sla literature. the present study investigates the effects of textual enhancement on adult foreign language intake of two english linguistic forms-subjunctive mood and inversion structures-to explore the role of the type of linguistic items in input enhancement studies. it also invest...

The intuitionistic linguistic set (ILS) is an extension of linguisitc variable. To overcome the drawback of using single real number to represent membership degree and non-membership degree for ILS, the concept of interval-valued intuitionistic linguistic set (IVILS) is introduced through representing the membership degree and non-membership degree with intervals for ILS in this paper. The oper...

In this paper, we investigate the multiple attribute decision making (MADM) problem based on the arithmetic and geometric aggregation operators with hesitant fuzzy linguistic information. Then, motivated by the idea of traditional arithmetic operation, we have developed some aggregation operators for aggregating hesitant fuzzy linguistic information: hesitant fuzzy linguistic weighted average (...

the benefits of textual input enhancement in the acquisition of linguistic forms have produced mixed results in sla literature. the present study investigates the effects of textual enhancement on adult foreign language intake of two english linguistic forms-subjunctive mood and inversion structures-to explore the role of the type of linguistic items in input enhancement studies. it also invest...

Dimensional analysis under linguistic Pythagorean fuzzy set (DA-LPFS) is a technique to handle qualitative (intangible) as well the interactions between criteria, by combining dimensional (DA) and (PFS) with variables. In this paper, novel DA method proposed for LPFSs based in PFS extension, order consider mutual relationship among criteria (fuzzy) quantitative (crisp) information usually invol...

In those problems that deal with multiple sources of linguistic information we can find problems defined in contexts where the linguistic assessments are assessed in linguistic term sets with different granularity of uncertainty and/or semantics (multigranular linguistic contexts). Different approaches have been developed to manage this type of contexts, that unify the multigranular linguistic ...

Fuzzy set theory provides a framework in which natural language expressions can be modelled mathematically, thereby even taking the vagueness of linguistic terms into account. In fuzzy systems a linguistic term (e.g. fast) is represented by a fuzzy set, while a linguistic modifier (e.g. very) is modelled by an operator (also known as hedge) transforming a fuzzy set into another. In the paper fi...