linguistic variable
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Author(s):  
Zefeng Lv ◽  
Dan Shan ◽  
Xiaopeng Hu ◽  
Wei Lu

Interval-valued time series (ITS) is a collection of interval-valued data whose entires are ordered by time. The modeling of ITS is an ongoing issue pursued by many researchers. There are diverse ITS models showing better performance. This paper proposes a new ITS model using possibility measure-based encoding-decoding mechanism involved in fuzzy theory. The proposed model consists of four modules, say, linguistic variable generation module, encoding module, inference module and decoding module. The linguistic variable generation module can provide a series of linguistic variables expressed in fuzzy sets used to described dynamic characteristics of ITS. The encoding module encodes ITS into some embedding vectors with semantics with the aid of possibility measure and linguistic variables formed by linguistic variable generation module. The inference module uses artificial neural network to capture relationship implied in those embedding vectors with semantic. The decoding module decodes for the outputs of the inference module to produce the output of linguistic and interval formats by using the possibility measure-based encoding-decoding mechanism. In comparison with existing ITS models, the proposed model can not only produce the output of linguistic format, but also exhibit better numeric performance.


Author(s):  
A. A. Voronina ◽  
O. A. Shabalina ◽  
A. V. Kataev

Modern trends in the development of educational software are associated with adaptive learning systems that can personalize the learning process. One of the key quality indicators of any learning system is user engagement in learning process. The known methods for assessing engagement of users of computer systems are based on collecting of various data on the user’s behavior, his emotional and neurophysiological state, etc., and interpreting it in the context of involvement. Confidence in the results of assessments based on interpretations may be insufficient to make decisions based on these results, which is of fundamental importance in case of using in adaptive learning systems. And besides not all the methods can be used online, which is a prerequisite for application in adaptive learning systems. A method for online assessing engagement has been developed, based on a combination of oculography, emotion analysis and web analytics methods, which is applicable for adapting the learning process in adaptive learning systems. The joint analysis of the physiological state and behavior (actions) of the user allows to take into account various aspects of the possible manifestation of the user engagement, and increase the confidence in the results of the assessment of engagement. Quantitative engagement indicators based on metrics applicable to online engagement assessment are suggested. Due to ambiguity of possible interpretations of quantitative indicators of involvement, a generalized assessment of engagement is determined using a fuzzy inference mechanism. To assess engagement a linguistic variable is used and a method for assessing user engagement is based on fuzzy rules. The proposed method is implemented in a web application that can be used to assess involvement online in adaptive learning systems. To set the linguistic variable for assessing engagement, an experiment will be conducted with the participation of users of learning systems and external experts. The values of the linguistic variable will be defined in such a way that the result of assessing involvement, obtained using the developed method, does not contradict the results of expert assessments.


Mathematics ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1387
Author(s):  
Miin-Shen Yang ◽  
Zeeshan Ali ◽  
Tahir Mahmood

As a typical model of three-way decisions (3WD), decision-theoretic rough sets (DTRS), have gained attention from scholars in decision-making problems. The q-rung orthopair fuzzy 2-tuple linguistic variable (QROF2-TLV) is a mixture of two different notions, q-rung orthopair fuzzy sets (QROFS) and 2-tuple linguistic variables (2-TLV), and is an extensive and proficient technique for coping with awkward and complicated information in realistic decision-making. In this paper, we first propose a DTRS model for 3WD based on QROF2-TLV that gives a new method for evaluating loss functions (LF) of DTRS. We further present the q-rung orthopair fuzzy 2-tuple linguistic generalized Maclaurin symmetric mean (QROF2-TLGMSM) and weighted QROF2-TLGMSM operators and then provide the LFs of DTRS based on QROF2-TLV with the values aggregated by the QROF2-TLGMSM operator. Thus, we propose the q-rung orthopair fuzzy 2-tuple linguistic variable DTRS (QROF2-TLV-DTRS) model. Subsequently, a technique for concluding another DTRS model, which can give the related semantic translation of the decision consequences of every other option, is presented. The model is applied to expound the proposed technique in detail, and the impacts of various conditional probabilities on decision outcomes are discussed. A comparative analysis of the proposed approach is also conducted to examine the proficiency of the proposed method.


2021 ◽  
Vol 47 (2) ◽  
pp. 710-717
Author(s):  
David Koloseni

A non-numeric fuzzy aggregation approach is applied for the fusion of information obtained from farmers and experts for evaluation and selection of alternatives under multiple criteria. The technique has the ability to assign linguistic variable to fused information and find consensus of gathered opinions from a number of experts on crop processing for each processed crop. The technique is illustrated with a crop processing problem by adding value to the crop and increase income to entrepreneurs. The proposed technique has been successfully applied to the ranking of the processed crops based on the expert’s opinions, thus obtaining best preferences based on product, technology, marketing, and customer satisfaction. Five crops, namely beans, maize, rosella, sunflower and rice were ranked. Out of the five ranked crops, two processed crops (maize and sunflower) obtained high ranking. Keywords: Linguistic variables, Fuzzy aggregation, Processed crops, Decision making


Languages ◽  
2021 ◽  
Vol 6 (2) ◽  
pp. 87
Author(s):  
Gabriel Antunes de Araujo ◽  
Nancy Mendes Torres Vieira

This study presents a systematic literature review of the monophthongization of the diphthong <ei> in Brazilian Portuguese. Monophthongization is a sound change by which a diphthong becomes a single vowel. Thus, the output of, for example, the word beira (‘edge’) can be b[eɪ̯]ra or b[e]ra. Our primary sources, 10 Master’s theses that analyzed this phenomenon using quantitative sociolinguistic methodologies, focus on individually describing a region’s variety of Portuguese. However, the results were never systematically related to each other. Consequently, these works do not present a comprehensive overview of the production of <ei> in Brazilian Portuguese. Thus, this systematic review gathers and unifies information dispersed in these studies, aiming to offer an overview of this optional phenomenon. The overall results demonstrate that the following context was the relevant linguistic variable, while the speaker’s educational level and dialect variation are the relevant non-linguistic variables for the application of the monophthongization rule.


2021 ◽  
Vol 2021 ◽  
pp. 1-40
Author(s):  
Armin Akhavein ◽  
Ali RezaHoseini ◽  
AmirMohammad Ramezani ◽  
Morteza BagherPour

According to the heavy reliance of economic growth on environmental and social matters, sustainable development has turned into one of the main strategies of the organizations associated with selecting the project basket. Moreover, market conditions, rapid global changes in several aspects, uncertainty in intellectual judgments of the experts, and many other factors have increased uncertainty in problems of this kind. Accordingly, the main objective of this paper is to develop a mixed decision-making approach (DEMATEL-VIKOR) with the aim of ranking and evaluating suggested projects considering sustainability indices in a “mass production and infrastructural” company under uncertainty, while also taking reliability (Z-number information) into account. Given the existing uncertainty in the opinions of experts and previous data, fuzzy approach and Z-number information have been employed for weighting the filtered sustainability indices that are aligned with the objectives of the considered company (Z-DEMATEL), as well as ranking candidate projects (Z-VIKOR), which contribute to the main innovation of the present research. In addition, for scoring in the Z-number state, a novel definition of linguistic variable (fuzzy linguistic variable considering probabilities) has been put forward. The suggested approach was solved by an expert in two numerical examples in three certain, fuzzy, and Z-number scenarios, the results of which show that different results are obtained for different scenarios. Apart from that, given that Z-number takes the probability of reliance on the opinions of experts into consideration, the more the approach moves from being certain towards the fuzzy state and the Z-number state, the more the results approach the real world, hence yielding more reliable results. Therefore, results obtained from the proposed Z-DEMATEL-VIKOR approach are far more reliable. Moreover, significance weights in the Z-number scenario are 39%, 26%, and 36% in the economic, social, and environmental dimensions, respectively, which is indicative of the importance of social and environmental aspects apart from the economic dimension.


2021 ◽  
pp. 1-18
Author(s):  
Xiangtang Chen ◽  
Bingzhen Sun ◽  
Xinrui Zhang ◽  
Chang Qi ◽  
Xiaoli Chu ◽  
...  

Linguistic variable is an effective method of representation the preferences of a decision-maker for inaccuracy available information in decision making under uncertainty. This article investigates a multiple attribute ranking decision making problem with linguistic preference by using linguistic value soft rough set. Firstly, we present the definition of linguistic value fuzzy set by introduce the concept of linguistic variable into the original Zadeh’s fuzzy set. We then define the concept of linguistic value soft set and the pseudo linguistic value soft set over the alternative set and parameter set of discourse. Moreover, we investigate the basic operators and the mathematical properties of the linguistic value soft set. Subsequently, we establish the rough approximation of an uncertainty concept with linguistic value over the object set and parameter set, i.e., the linguistic value soft rough set model. Meanwhile, we discuss several deformations of the linguistic value soft rough lower and upper approximations as well as some fundamental properties of the linguistic value soft approximation operators. With reference on the exploring of the fundamental of linguistic value soft rough set, we construct a new method for handling with the multiple attribute ranking decision making problems with linguistic information by combining the proposed soft rough set and the VIKOR method. Then, we give the detailed decision procedure and steps for the established decision approach. At last, an extensive numerical example is further conducted to illustrate the process of the decision making principle and the results are satisfactory. The main contribution of this paper is twofold. One is to provide a new model of granular computing by infusion the soft set and rough set theory with linguistic valued information. Another is to try making a new way to handle multiple attribute decision making problems based on linguistic value soft rough set and the VIKOR method.


2021 ◽  
Vol 545 ◽  
pp. 207-222
Author(s):  
Lisheng Jiang ◽  
Huchang Liao
Keyword(s):  

2021 ◽  
Vol 111 ◽  
pp. 01017
Author(s):  
Olena Sushkova ◽  
Viktoriya Нurochkina ◽  
Viktoria Voroshilo ◽  
Elena Tumanova

The article proposes a scientific and methodological approach to assessing the level of promotion of fiscal policy of sustainable development, uniting a set of indicators of realization in the country of 17 SDGs. Applying the principle of the hierarchy of diagnostic knowledge, the assessment of the level of support for fiscal policies for sustainable development is presented through the linguistic variable, with the separation of measures of influence on the economic, social and environmental blocs. The hierarchical relationship between the state parameters and the level of support for fiscal policies for sustainable development is graphically presented as a logical inference tree The approach has been tested by measuring the level of promotion of fiscal policies for sustainable development in Ukraine for two scenarios, This will make it possible to predict the impact of the country’s policies. According to the results of the study, it has been proved that the level of support for the fiscal policy of sustainable development in Ukraine suppresses the implementation of 17 SDGs, and the nature of the changes tends to a pessimistic development scenario, and the total index for promoting fiscal policies for sustainable development decreases annually.


2020 ◽  
Vol 6 (2) ◽  
pp. 22-31
Author(s):  
Brandon Papineau

T-glottaling in Scotland has been studied as a salient linguistic variable, which has been found to index (in)formality, socio-economic class, and region, among other speaker and situational characteristics. Realisations of /t/ have also been studied in a musical context, where they have been found to be linked to genre and identity. This study examines Scottish singer-songwriter Nina Nesbitt, and her realisations of the intervocalic /t/ variable in both speech and song. She shows high rates of t-glottaling in speech, but within song, her realisations vary; the only significant predictor of /t/ realisations is song genre, where pop and pop folk songs favour [ɾ] realisations and acoustic songs favour the [t] realisation. T-glottaling is uncommon in all genres of her music. I argue that this variability is a strategy employed to create coherent musical identities that situate Nesbitt within the musical marketplaces in which she performs.


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