Some Hybrid Geometric Aggregation Operators with 2-tuple Linguistic Information and Their Applications to Multi-attribute Group Decision Making

Wan, Shouhong

doi:10.1080/18756891.2013.804144

Cited by 31 publications

(9 citation statements)

References 28 publications

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“…In order to obtain interpretable significance results close to human beings' cognitive model and taking into account the linguistic modeling of the unified information, the proposed EISA approach carries out the CWW processes in a multi-step aggregation process which is supported by aggregation operators for 2-tuple linguistic values, such as the ones defined in (Herrera and Martínez, 2000;Liu et al, 2013;Merigó et al, 2010;Wan, 2013).…”

Section: Multi-step Aggregation Processmentioning

confidence: 99%

See 1 more Smart Citation

A Hesitant Heterogeneous Approach for Environmental Impact Significance Assessment

Zulueta¹,

Rodríguez²,

Bello³

et al. 2016

J ENVIRON INFORM

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ABSTRACT. Projects and industrial activities developed by human beings generally affect their surroundings. For this reason, the efficacy of Environmental Impact Significance Assessment (EISA) method is increasingly demanded. There are multiple criteria involved in EISA problems that interact each other and may have either quantitative or qualitative nature. Classical approaches for EISA are not efficient in managing either uncertainty or different types of information, and the results obtained are numerical values difficult to interpret. The complexity of such problems and the uncertain information involved imply that experts sometimes hesitate among several values to express their assessments over criteria and they do not want to provide just one value, because it cannot reflect their hesitation. This brings about incomplete data in the experts' assessments. In order to deal with such situations, the concepts of hesitant fuzzy sets and hesitant fuzzy linguistic term sets have recently been introduced in quantitative and qualitative contexts respectively. Therefore, the aim of this paper is to define an EISA approach that allows managing heterogeneous information, including hesitant information. This approach provides a flexible evaluation framework in which experts can express their assessments, using different information domains that are unified in a linguistic domain by the 2-tuple linguistic model. It also obtains accurate results, which are easy to understand and interpret.

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Section: Multi-step Aggregation Processmentioning

confidence: 99%

“…In the literature can be found different aggregation operators defined for 2-tuple linguistic values (Herrera and Martínez, 2000;Liu et al, 2013;Merigó et al, 2010;Wan, 2013). We only revise the arithmetic mean and the weighted mean because they are used in the illustrative example shown in Section 5.…”

Section: -Tuple Linguistic Modelmentioning

confidence: 99%

A Hesitant Heterogeneous Approach for Environmental Impact Significance Assessment

Zulueta¹,

Rodríguez²,

Bello³

et al. 2016

J ENVIRON INFORM

View full text Add to dashboard Cite

show abstract

“…Li et al (2014) developed and induced the generalized ordered weighted averaging distance (GOWAD) operators for linguistic 2-tuples, Park et al (2013) put forward the harmonic operators for linguistic 2-tuples, etc. Recently, Wan (2013) introduced some new operational laws for computing 2-tuple linguistic variables and proposed some hybrid geometric aggregation operators, which can be shown as follows:…”

Section: The 2-tuple Linguistic Term Setmentioning

confidence: 99%

“…Note that according to Definition 2 and the work finished by Wan (2013), for any two 2-tuple linguistic variables (s k , α k ), (s l , α l ) and λ > 0, the following results are valid:…”

Section: Definition 8 Letmentioning

confidence: 99%

2-Tuple linguistic soft set and its application to group decision making

2014

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The aim of this paper is to put forward the 2-tuple linguistic soft set by combining the concepts of 2-tuple linguistic term set and soft set. The traditional set operations and corresponding properties are investigated. We develop the algebraic operations and discuss their corresponding properties based on which we introduce the applications of this theory in solving decision making problems. Four algorithms using the notion of 2-tuple linguistic soft information aggregation function are developed to handle group decision making problem. Finally, a selection problem of investment strategy is shown to illustrate the feasibility and validity of our approach.

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“…This model allows a continuous representation of the linguistic information on its domain and can effectively avoid information distortion and loss. Because of the validity and comprehensiveness of the 2‐tuple fuzzy linguistic model in expressing information, it has caused great research enthusiasm . Qin put forward the 2‐tuple linguistic Muirhead mean operators by considering the relationship between attributes and its application to supplier selection.…”

Section: Introductionmentioning

confidence: 99%

Interval 2‐tuple Pythagorean fuzzy linguistic MULTIMOORA method with CIA and their application to MCGDM

et al. 2020

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The reliable evaluation of financial performance of universities plays an important role in sustainable development of universities, and it could be regarded as a multicriteria group decision making problem. Based on this, in this paper, with respect to the attribute evaluation values are expressed by interval 2‐tuple Pythagorean fuzzy linguistic variables, we develop an extended MULTIMOORA method. First, we propose the interval 2‐tuple Pythagorean fuzzy linguistic set based on Pythagorean fuzzy set and interval‐valued 2‐tuple linguistic variables, and further introduce the score and accuracy functions and Hamming distance of it. Then, considering that there are some deficiencies in the traditional MULTIMOORA method, such as exist the case of circular reasoning, and so forth. We improve it by proposing a comprehensive integration approach, which can not only consider both the utility values and sort results, but also reflect the preference attitude of decision makings simultaneously. Based on these research findings, an interval 2‐tuple Pythagorean fuzzy linguistic MULTIMOORA method is presented and the calculation process of this method is described in detail. Finally, we give the numerical example concerning the evaluation of financial management performance in universities to illustrate practicability and reliability of the proposed approach and compare the proposed method with different methods to perform its flexibility.

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Some Hybrid Geometric Aggregation Operators with 2-tuple Linguistic Information and Their Applications to Multi-attribute Group Decision Making

Cited by 31 publications

References 28 publications

A Hesitant Heterogeneous Approach for Environmental Impact Significance Assessment

A Hesitant Heterogeneous Approach for Environmental Impact Significance Assessment

2-Tuple linguistic soft set and its application to group decision making

Interval 2‐tuple Pythagorean fuzzy linguistic MULTIMOORA method with CIA and their application to MCGDM

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