A Novel Multiple Attribute Satisfaction Evaluation Approach with Hesitant Intuitionistic Linguistic Fuzzy Information

Yang, Shanghong; Sun, Zhichen; Ju, Yanbing; Qiao, Chengya

doi:10.1155/2014/692782

Cited by 5 publications

(4 citation statements)

References 42 publications

(46 reference statements)

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“…The results are shown in Table 8. From the results we can see that we can get similar ranking results in the proposed method and Yang et al's method 54 . There is little difference in values to be aggregated since different intuitionistic fuzzy values in the proposed method are replaced by the average one.…”

Section: Numerical Examplesupporting

confidence: 55%

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Linguistic hesitant intuitionistic fuzzy cross-entropy measures

Yang¹,

Pang²,

Shi³

2017

IJCIS

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In this paper, several cross-entropy measures for linguistic hesitant intuitionistic fuzzy information have been developed which integrating cross-entropy measures of intuitionistic fuzzy sets and hesitant fuzzy linguistic sets. Some desirable properties of new cross-entropy measures have been studied. Two new multiple attribute decision making methods have been presented based on the new cross-entropy measures in which attribute values are given in the form of linguistic hesitant intuitionistic fuzzy values to reflect human hesitantation and fuzzy thinking comprehensively. We consider different attribute weight situations including attribute weights are completely known, partly known and completely unknown. An optimization model is established to determine attribute weights if they are partly known and a formula is given if attribute weights are completely unknown. Finally, a numerical example is presented to illustrate practical advantages and effectiveness of the proposed approaches.

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Section: Numerical Examplesupporting

confidence: 55%

“…Different evaluation information has been used in two methods and different results are reasonable. We further compare it with the method of Yang et al 54 . In Yang et al's method, each linguistic term only has one intuitionistic fuzzy membership.…”

Section: Numerical Examplementioning

confidence: 99%

Linguistic hesitant intuitionistic fuzzy cross-entropy measures

Yang¹,

Pang²,

Shi³

2017

IJCIS

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“…For this reason, Wang et.al [15] combined linguistic variables with intuitionistic fuzzy sets and proposed the intuitionistic linguistic sets (IFLSs) . Since the intuitionistic linguistic term set was put forward, it has attracted many scholars to study and discuss it [16][17][18]. Similarly, Peng et.al [19] combined linguistic variables with the Pythagorean fuzzy set, and proposed the Pythagorean fuzzy linguistic sets (PFLSs).…”

Section: Introductionmentioning

confidence: 99%

The q-Rung Orthopair Hesitant Fuzzy Uncertain Linguistic Aggregation Operators and Their Application in Multi-Attribute Decision Making

2020

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This paper combines the q-rung orthopair hesitant fuzzy sets (q-ROHFSs) with the uncertain linguistic variables, and proposes the q-rung orthopair hesitant fuzzy uncertain linguistic sets (q-ROHFULSs). In addition, the Schweizer-Sklar T-norm is introduced, and a multi-attribute decision-making method based on the q-rung orthopair hesitant fuzzy uncertain linguistic Schweizer-Sklar aggregation operators is established. Firstly, based on the Schweizer-Sklar T-norm, the operational properties of q-rung orthopair hesitant fuzzy uncertain linguistic elements are defined, and the score function, accuracy function and ranking method of the q-rung orthopair hesitant fuzzy uncertain linguistic elements are proposed. Secondly, the q-rung orthopair hesitant fuzzy uncertain linguistic Schweizer-Sklar Bonferroni mean (BM) operator and geometric Bonferroni mean (GBM) operator, Maclaurin symmetric mean (MSM) operator and dual Maclaurin symmetric mean (DMSM) operator, Maclaurin mean (MM) operator and dual Maclaurin mean (DMM) operator are defined. The calculation formulas of the operators are given, the related properties are studied, and the special forms of the operators are discussed. Finally, a multi-attribute decision-making model based on the q-rung orthopair hesitant fuzzy uncertain linguistic aggregation operators is established, and the feasibility and effectiveness of the decision-making method are demonstrated through calculation examples and comparative analyses. INDEX TERMS q-Rung orthopair hesitant fuzzy uncertain linguistic sets (q-ROHFULSs); Schweizer-Sklar T-norm; Bonferroni mean (BM) operator; Maclaurin symmetric mean (MSM) operator; Maclaurin mean (MM) operator; multi-attribute decision making (MADM).

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“…It has become the beginning of qualitative decision making research. Qualitative decision making has been widely concerned by scholars and successfully applied to many areas [2][3][4][5][6][7][8][9][10]. However, in many practical qualitative decision making cases, it is often difficult for decision makers to express preferences by using a single linguistic term.…”

Section: Introductionmentioning

confidence: 99%

Grey Relational Bidirectional Projection Method for Multicriteria Decision Making with Hesitant Intuitionistic Fuzzy Linguistic Information

Zang

Zhao

et al. 2018

Mathematical Problems in Engineering

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We investigate a novel approach for multicriteria decision making (MCDM) with hesitant intuitionistic fuzzy linguistic information. To compare the hesitant intuitionistic fuzzy linguistic term sets (HIFLTSs), we propose a comparison method of HIFLTSs. A family of distance measures of HIFLTSs is developed. After that, we propose the grey relational bidirectional projection method based on the proposed comparison method and distance measures of IVHFLNs for dealing with MCDM problems. Furthermore, we establish a nonlinear optimization model to obtain the weight vector of criteria. Finally, an illustrative example is given to demonstrate the effectiveness and flexibility of the proposed approach.

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A Novel Multiple Attribute Satisfaction Evaluation Approach with Hesitant Intuitionistic Linguistic Fuzzy Information

Cited by 5 publications

References 42 publications

Linguistic hesitant intuitionistic fuzzy cross-entropy measures

Linguistic hesitant intuitionistic fuzzy cross-entropy measures

The q-Rung Orthopair Hesitant Fuzzy Uncertain Linguistic Aggregation Operators and Their Application in Multi-Attribute Decision Making

Grey Relational Bidirectional Projection Method for Multicriteria Decision Making with Hesitant Intuitionistic Fuzzy Linguistic Information

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