General fuzzy number intuitionistic fuzzy arithmetic aggregation operators based on fuzzy structured element

Xin-fan, Wang; Wang, Jianqiang; Yang, Wu‐E

doi:10.1109/ccdc.2012.6243057

Cited by 21 publications

(43 citation statements)

References 12 publications

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“…where Wang (2008a) propose the fuzzy number intuitionistic fuzzy weighted averaging (FNIF-WA) operator and fuzzy number intuitionistic fuzzy ordered weighted averaging (FNI-FOWA) operator.…”

Section: Preliminariesmentioning

confidence: 99%

“…Liu and Yuan (2007) introduced the concept of fuzzy number intuitionistic fuzzy set (FNIFS) which fundamental characteristic of the FNIFS is that the values of its membership function and non-membership function are triangular fuzzy numbers rather than exact numbers. Wang (2008a) propose the fuzzy number intuitionistic fuzzy weighted averaging (FNIFWA) operator, fuzzy number intuitionistic fuzzy ordered weighted averaging (FNIFOWA) operator and fuzzy number intuitionistic fuzzy hybrid aggregation (FNIFHA) operator. Wang (2008b) propose some aggregation operators, including fuzzy number intuitionistic fuzzy weighted geometric (FNIFWG) operator, fuzzy number intuitionistic fuzzy ordered weighted geometric (FNIFOWG) operator and fuzzy number intuitionistic fuzzy hybrid geometric (FNIFHG) operator and develop an approach to multiple attribute group decision making (MAGDM) based on the FNIFWG and the FNIFHG operators with fuzzy number intuitionistic fuzzy information.…”

Section: Introductionmentioning

confidence: 99%

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An Approach to Multiple Attribute Decision Making Based on the Induced Choquet Integral With Fuzzy Number Intuitionistic Fuzzy Information

Wei

Lin

Zhao

et al. 2014

Journal of Business Economics and Management

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Abstract. In this paper, we investigate the multiple attribute decision making problems with fuzzy number intuitionistic fuzzy information. Firstly, some operational laws of fuzzy number intuitionistic fuzzy values, score function and accuracy function of fuzzy number intuitionistic fuzzy values are introduced. Then, we have developed two fuzzy number intuitionistic fuzzy Choquet integral aggregation operators: induced fuzzy number intuitionistic fuzzy choquet ordered averaging (IFNIFCOA) operator and induced fuzzy number intuitionistic fuzzy choquet ordered geometric (IFNIFCOG) operator. The prominent characteristic of the operators is that they can not only consider the importance of the elements or their ordered positions, but also reflect the correlation among the elements or their ordered positions. We have studied some desirable properties of the IFNIFCOA and IFNIFCOG operators, such as commutativity, idempotency and monotonicity, and applied the IFNIFCOA and IFNIFCOGM operators to multiple attribute decision making with fuzzy number intuitionistic fuzzy information. Finally an illustrative example has been given to show the developed method.Keywords: Multiple attribute decision making, Fuzzy number intuitionistic fuzzy values, operational laws, induced fuzzy number intuitionistic fuzzy choquet ordered averaging operator, induced fuzzy number intuitionistic fuzzy choquet ordered geometric operator, Choquet integral.Reference to this paper should be made as follows: Wei, G.; Lin, R.; Zhao, X.; Wang, H.2014. An approach to multiple attribute decision making based on the induced Choquet integral with fuzzy number intuitionistic fuzzy information, Journal of Business Economics and Management 15(2): 277-298.JEL Classification: C61.

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Section: Preliminariesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An Approach to Multiple Attribute Decision Making Based on the Induced Choquet Integral With Fuzzy Number Intuitionistic Fuzzy Information

Wei

Lin

Zhao

et al. 2014

Journal of Business Economics and Management

View full text Add to dashboard Cite

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“…Wang [24] propose the fuzzy number intuitionistic fuzzy weighted averaging (FIFWA) operator and fuzzy number intuitionistic fuzzy ordered weighted averaging (FIFOWA) operator. …”

Section: Induced Fuzzy Number Intuitionistic Fuzzy Ordered Weighted Amentioning

confidence: 99%

“…Wang [17] propose some aggregation operators, including fuzzy number intuitionistic fuzzy weighted geometric (FIFWG) operator, fuzzy number intuitionistic fuzzy ordered weighted geometric (FIFOWG) operator and fuzzy number intuitionistic fuzzy hybrid geometric (FIFHG) operator and develop an approach to multiple attribute group decision making (MAGDM) based on the FIFWG and the FIFHG operators with fuzzy number intuitionistic fuzzy information. Wang [24] propose the fuzzy number intuitionistic fuzzy weighted averaging (FIFWA) operator, fuzzy number intuitionistic fuzzy ordered weighted averaging (FIFOWA) operator and fuzzy number intuitionistic fuzzy hybrid aggregation (FIFHA) operator.…”

Section: Introductionmentioning

confidence: 99%

Some Induced Aggregating Operators with Fuzzy Number Intuitionistic Fuzzy Information and their Applications to Group Decision Making

Wei¹,

Zhao²,

Lin³

2010

IJCIS

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With respect to multiple attribute group decision making (MAGDM) problems in which both the attribute weights and the expert weights take the form of real numbers, attribute values take the form of fuzzy number intuitionistic fuzzy numbers, a new group decision making analysis method is developed. Firstly, some operational laws of fuzzy number intuitionistic fuzzy numbers, score function and accuracy function of fuzzy number intuitionistic fuzzy numbers are introduced. Then a new aggregation operator called induced fuzzy number intuitionistic fuzzy ordered weighted geometric (I-FIFOWG) operator is proposed, and some desirable properties of the I-FIFOWG operators are studied, such as commutativity, idempotency and monotonicity. An I-FIFOWG and FIFWG (fuzzy number intuitionistic fuzzy weighted geometric) operators-based approach is developed to solve the MAGDM under the fuzzy number intuitionistic fuzzy environment. Furthermore, we propose the induced fuzzy number intuitionistic fuzzy ordered weighted averaging (I-FIFOWA) operator. Finally, an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness. Finally, an illustrative example is given to verify the developed approach.Keywords: Fuzzy number intuitionistic fuzzy numbers; operational laws; fuzzy number intuitionistic fuzzy weighted geometric (FIFWG) operator; induced fuzzy number intuitionistic fuzzy ordered weighted geometric (I-FIFOWG) operator

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“…The use of the OWA operator in different types of distance measures has been studied in (Karayiannis 2000;Merigó 2008;Merigó and Gil-Lafuente 2008a;2008b). For other developments of the OWA operator, see (Beliakov et al 2007;Calvo et al 2002;Chiclana et al 2004;2007;Merigó 2008;Merigó and Casanovas 2007;Merigó and Gil-Lafuente 2008b;Wang 2008;Yager 2002;2003;Yager and Kacprzyk 1997). …”

Section: Introductionmentioning

confidence: 99%

Decision-making with distance measures and induced aggregation operators

Merigó¹,

Ramón²

2011

Computers & Industrial Engineering

212

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Abstract:We present a new decision-making approach that uses distance measures and induced aggregation operators. We introduce the induced ordered weighted averaging distance (IOWAD) operator, a new aggregation operator that extends the OWA operator by using distance measures and a reordering of the arguments that depends on order-inducing variables. The main advantage of the IOWAD is that it provides a parameterized family of distance aggregation operators between the maximum and the minimum distance based on a complex reordering process that reflects a complex attitudinal character of the decision-maker. We study some of its main properties and particular cases. We develop an application in a decision-making problem regarding the selection of investments. We see that the main advantage of this approach in decision-making is that it is able to provide a more complete picture of the decision process, so the decision-maker is able to select the alternative most in accordance with his interests.Keywords: Decision-making, OWA operator, Hamming distance, Induced aggregation operators. JEL Classification: C44, C49, D81, D89.Resumen: Se presenta un nuevo modelo para la toma de decisiones basado en el uso de medidas de distancia y de operadores de agregación inducidos. Se introduce la distancia media ponderada ordenada inducida (IOWAD). Es un nuevo operador de agregación que extiende el operador OWA a través del uso de distancias y un proceso de reordenación de los argumentos basado en variables de ordenación inducidas. La principal ventaja el operador IOWAD es la posibilidad de utilizar una familia parametrizada de operadores de agregación entre la distancia individual máxima y la mínima. Se estudian algunas de sus principales propiedades y algunos casos particulares. Se desarrolla un ejemplo numérico en un problema de toma de decisiones sobre selección de inversiones. Se observa que la principal ventaja de este modelo en la toma de decisiones es la posibilidad de mostrar una visión más completa del proceso, de forma que el decisor está capacitado para seleccionar la alternativa que está más cerca de sus intereses.3

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General fuzzy number intuitionistic fuzzy arithmetic aggregation operators based on fuzzy structured element

Cited by 21 publications

References 12 publications

An Approach to Multiple Attribute Decision Making Based on the Induced Choquet Integral With Fuzzy Number Intuitionistic Fuzzy Information

An Approach to Multiple Attribute Decision Making Based on the Induced Choquet Integral With Fuzzy Number Intuitionistic Fuzzy Information

Some Induced Aggregating Operators with Fuzzy Number Intuitionistic Fuzzy Information and their Applications to Group Decision Making

Decision-making with distance measures and induced aggregation operators

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