A biparametric similarity measure on intuitionistic fuzzy sets with applications to pattern recognition

Boran, Fatih Emre; Akay, Diyar

doi:10.1016/j.ins.2013.08.013

Cited by 266 publications

(148 citation statements)

References 32 publications

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“…A prominent characteristic of IFS is that it assigns to each element a membership degree and a non-membership degree, and thus, it is more powerful to deal with uncertainty and vagueness in real applications than fuzzy set which is only assigns to each element a membership degree (Hsieh and Chan, 2016). The IFS has received more and more attention since its appearance (Xu, 2007;Yu, 2015;Boran and Akay, 2014;Wan, Wang and Dong, 2016;Zeng and Chen, 2015;Zeng and Xiao, 2016;Zeng, Su and Zhang, 2016).…”

Section: Introductionmentioning

confidence: 99%

Intuitionistic Linguistic Multiple Attribute Decision-making Based on Heronian Mean Method and Its Application to Evaluation of Scientific Research Capacity

Zhang

Zeng

2017

EURASIA J MATH SCI T

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The main focus of this paper is to investigate intuitionistic linguistic information fusion based on Heronian mean. Two new intuitionistic linguistic aggregation operators called intuitionistic linguistic generalized Heronian mean (ILGHM) and intuitionistic linguistic generalized weighted Heronian mean (ILGWHM) operators, are introduced. The ILGHM and ILGWHM operators are characterized by the ability to deal with the intuitionistic linguistic multiple attribute decision making problems in which the attributes are interactive. Some desired properties and special cases with respect to the different parameter values in the developed operators are studied. Furthermore, a method based on the proposed operators is developed to deal with multiple attribute group decision making (MAGDM) method problems. Finally, an illustrative example concerning evaluation of scientific research capacity is provided to illustrate the decision-making process and to discuss the influences of different parameters on the decision-making results.

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Section: Introductionmentioning

confidence: 99%

Intuitionistic Linguistic Multiple Attribute Decision-making Based on Heronian Mean Method and Its Application to Evaluation of Scientific Research Capacity

Zhang

Zeng

2017

EURASIA J MATH SCI T

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“…From the experimental results shown in Table 1, we can see that the proposed entropy measure overcomes the drawbacks of the existing entropy measures for IFSs (Bustine and Burillo, 1996, Szmidt and Kacprzyk, 2001, Hung and Yang, 2006, Vlachos and Sergiadis, 2007. From the experimental results shown in Table 2 we can see that the proposed similarity measure outperforms the existing similarity measures between IFSs (Chen, 1995, Hong and Kim, 1999, Li and Xu, 2001, Dengfeng and Chuntian, 2002, Mitchell, 2003, Liang and Shi, 2003, Hung and Yang, 2004, Ye, 2011, Boran and Akay, 2014, Song et al, 2015. The obtained results indicate that the proposed measures in this paper are most reliable and accurate for measuring on IFSs in comparison with other recently used measures.…”

Section: Resultsmentioning

confidence: 78%

A new knowledge-based measure for intuitionistic fuzzy sets and its application in multiple attribute group decision making

Nguyen

2015

Expert Systems with Applications

108

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“…When a new distance measure is proposed, it is always accompanied with explanations of overcoming counterintuitive cases of other methods and these cases are usually illustrated by single-element IFSs. In [30], Li et al summarized counterintuitive cases proposed by previous literature and constituted an artificial benchmark with six different pairs of single-element IFSs, which has been widely used in the test of distance and similarity measures [31,[44][45][46][47][48][49]. Although these cases cannot represent all counterintuitive situations, they are typical and representative.…”

Section: A Comparison Of Distance Measures For Ifss Based On An Artifmentioning

confidence: 99%

Extended VIKOR Method for Intuitionistic Fuzzy Multiattribute Decision‐Making Based on a New Distance Measure

Luo

Xuanzi

2017

Mathematical Problems in Engineering

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An intuitionistic fuzzy VIKOR (IF-VIKOR) method is proposed based on a new distance measure considering the waver of intuitionistic fuzzy information. The method aggregates all individual decision-makers' assessment information based on intuitionistic fuzzy weighted averaging operator (IFWA), determines the weights of decision-makers and attributes objectively using intuitionistic fuzzy entropy, calculates the group utility and individual regret by the new distance measure, and then reaches a compromise solution. It can be effectively applied to multiattribute decision-making (MADM) problems where the weights of decision-makers and attributes are completely unknown and the attribute values are intuitionistic fuzzy numbers (IFNs). The validity and stability of this method are verified by example analysis and sensitivity analysis, and its superiority is illustrated by the comparison with the existing method.

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A biparametric similarity measure on intuitionistic fuzzy sets with applications to pattern recognition

Cited by 266 publications

References 32 publications

Intuitionistic Linguistic Multiple Attribute Decision-making Based on Heronian Mean Method and Its Application to Evaluation of Scientific Research Capacity

Intuitionistic Linguistic Multiple Attribute Decision-making Based on Heronian Mean Method and Its Application to Evaluation of Scientific Research Capacity

A new knowledge-based measure for intuitionistic fuzzy sets and its application in multiple attribute group decision making

Extended VIKOR Method for Intuitionistic Fuzzy Multiattribute Decision‐Making Based on a New Distance Measure

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