In a recent work (Wang et al. 2020), partial order ⪯, join operation ⊔ and meet ⊓ of probabilistic linguistic term sets (PLTSs) were introduced it was proved that L1 L2 ⪯ L2. this paper, we demonstrate its operations are not satisfy the above requirement. To requirement, modify operations. Moreover, define negation PLTSs based on ⪯. The combinations proposed negation, modified yield bounded, di...

The aim of this paper is to present a fusion approach of multi-granularity linguistic information for managing information assessed in di erent linguistic term sets (multi-granularity linguistic term sets) together with its application in a decision making problem with multiple information sources, assuming that the linguistic performance values given to the alternatives by the di erent sources...

Hesitant fuzzy linguistic term sets were introduced to grasp the uncertainty existing in human reasoning. In this paper, inspired by absolute order-of-magnitude qualitative reasoning techniques, an extension of the set of hesitant fuzzy linguistic term sets is presented to capture differences between non-compatible preferences. In addition, an order relation and two closed operations over this ...

Given a finite totally ordered set of linguistic terms, the operations intersection and connected union provide a lattice structure to the set of hesitant fuzzy linguistic term sets. In this framework, hesitant fuzzy linguistic descriptions of a given set of alternatives are considered. A distance between hesitant fuzzy linguistic descriptions is introduced based on the properties of the lattic...

Fuzzy systems working with a sparse rule base apply special reasoning techniques in order to ensure the acceptable output in case of observations hitting the gap between the antecedent parts of the rules, too. The methods that follow the generalized methodology of the fuzzy rule interpolation (GM) [1] produce the conclusion in two steps. First a new rule is interpolated in the position determin...

PROMETHEE refers to a collection of methods of ranking in the field of multi-criteria decision making. These methods are characterized by conceptual simplicity and practical applicability. However, the nature of phenomena involving decision-making in real world leads us to use fuzzy method of preference ranking. The most common criticism on mathematical ranking procedures is that they tend to d...

We recall the concept of a linguistic variable and the representation of its values (i.e. linguistic terms) by means of fuzzy sets. In this framework adverbs are represented by fuzzy modifiers, i.e. operators acting on these fuzzy sets. We investigate two important classes of popular fuzzy modifiers. Grounding on results from psycholinguistic research, we discuss their pro’s and contra’s for re...

Abstract. The 2-tuple linguistic computational model is an important tool to deal with linguistic information. To extend the application of hesitant fuzzy linguistic term sets and avoid information loss, this paper introduces hesitant fuzzy 2-tuple linguistic term sets that are expressed by using several symbolic numbers in [0,1]. Considering the order relationship between hesitant fuzzy 2tuple...

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...