Fuzzy Linguistic Scales: Definition, Properties and Applications

Ryjov, Alexander

doi:10.1007/978-3-540-36216-6_3

Cited by 21 publications

(7 citation statements)

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“…The universe is denoted by X = [0, b] ⊂ R. Further we have to choose a scale of linguistic variables. There is a wealth of literature on qualitative scales of evaluations (see, e.g., [11]). In the general case, the set V has the form…”

Section: Methodology For Fuzzy Aggregation Of Expert Qualitative Opinmentioning

confidence: 99%

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Application of Fuzzy Sets in Solving Some Management Problem. Part 2

2015

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This paper continues another our work, which is the first of two parts where the approach to the processing of quantitative expert evaluations in the process of group decision-making under uncertainty is considered. In the second part, represented by this paper, an approach is proposed for the processing of qualitative expert evaluations in the process of group decision-making. The approach is based on the use of triangular fuzzy numbers. In group decision-making the opinions of experts are expressed by linguistic variables like very bad, not very bad, problematic, good, and so on. The technique of conversion of expert quantitative opinions to triangular fuzzy numbers is considered. A simple method of expressing expert opinions by triangular fuzzy numbers is introduced. A new approach to determining the expert degrees of importance is proposed. The proposed methodology is discussed in full detail and its algorithm is described. An illustrative example is given.

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Section: Methodology For Fuzzy Aggregation Of Expert Qualitative Opinmentioning

confidence: 99%

“…As in [11], on the set of triangular fuzzy numbers in the universe X, the degree of agreement between expert estimates is measured by the general metric defined by means of the isotone valuation introduced in the paper and embracing the whole class of distances between triangular fuzzy numbers.…”

Section: Introductionmentioning

confidence: 99%

Application of Fuzzy Sets in Solving Some Management Problem. Part 2

2015

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“…A fuzzy linguistic scale indicates the quality of information retrieval and formulates a method of choosing the optimum set of values of qualitative attributes [47]. Ryjov (1987) The parameters including x 1 , x 2 , and x 3 present the smallest possible value, most promising value, and largest possible value, respectively [46].…”

Section: Fuzzy Linguistic Scalementioning

confidence: 99%

An Integrated Approach of Fuzzy Analytic Hierarchy Process and Super Slack-Based Measure for the Logistics Industry in Vietnam

Nguyen,

Ngo

et al. 2023

Sustainability

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In the context of economic development and international economic integration, Vietnam’s logistics industry is developing to meet market demands for the transportation of goods; thus, many logistics enterprises have been formulated and expanded in recent years. This research aims to measure the efficiency of logistics enterprises and recommend a feasible solution to improve their future performance by integrating a super slack-based measure model (super-SBM) in data envelopment analysis and fuzzy analytic hierarchy processes (fuzzy AHP) in multi-criteria decision-making. The super-SBM model was utilized to conduct the efficiency scores of logistics enterprises from 2016 to 2022 based on calculating the ratio between input and output variables; the empirical result determined each enterprise’s effectiveness and ineffectiveness. Next, the fuzzy AHP method evaluated and ranked criteria that directly impacted the operational process of logistics enterprises based on experts’ opinions; the examined result suggested a feasible direction to improve future business efficiency. The proposed hybrid models are a helpful solution for efficiency determination and determining the development direction for logistics enterprises. An overall picture of the logistics enterprises was also drawn to describe their operational business process.

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“…For the purposes of expression of an agreement level, a linguistic fuzzy scale will be used. There are many different linguistic scales described for example in Lubiano et al (2016), Ryjov (2003) or Xu (2012). In this article, the Likert scale will be used.…”

Section: Fuzzy Linguistic Scalementioning

confidence: 99%

Fuzzy Approach for Group Decision-Making in Crisis Situations

Škoda

Flégl

Lozano

2021

Business: Theory and Practice

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The importance of correct and clear decisions during a complex and difficult situation is very easy to understand, but not so easy to achieve. Especially in situations where decision-makers must decide under time pressure and uncertainty. For instance, typical crisis situations have such characteristics. Given the uncertainty, subjectivity and ambiguity of human knowledge, crisis situations are also characterized by conflicting interests. In this article, we propose an approach based on fuzzy set theory to help decision-makers to find the collective decision considering weights of each member of the decision-making group. More specifically, the proposed approach uses new and innovative transformation of fuzzy numbers through α-level cuts. The key role in the transformation process is played by the shape and position of fuzzy numbers. Additionally, the Hamming distance will be used for the final interpretation of the results, in order to minimize the loss of information caused by defuzzification.

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Fuzzy Linguistic Scales: Definition, Properties and Applications

Cited by 21 publications

References 0 publications

Application of Fuzzy Sets in Solving Some Management Problem. Part 2

Application of Fuzzy Sets in Solving Some Management Problem. Part 2

An Integrated Approach of Fuzzy Analytic Hierarchy Process and Super Slack-Based Measure for the Logistics Industry in Vietnam

Fuzzy Approach for Group Decision-Making in Crisis Situations

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