Fuzzy multiple attributes group decision-making based on the ranking values and the arithmetic operations of interval type-2 fuzzy sets

Chen, Shyi‐Ming; Lee, Li‐Wei

doi:10.1016/j.eswa.2009.06.094

Cited by 280 publications

(136 citation statements)

References 21 publications

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“…a a = , then the type-2 fuzzy set A  became a triangular type-1 fuzzy set (Chen, Lee 2010b (Zadeh 1975;Mendel, John 2002;Mendel et al 2006;Chen, Lee 2010a):…”

Section: Type-2 Fuzzy Setsmentioning

confidence: 99%

A Fuzzy Multi-Criteria Decision Making Methodology Based Upon the Interval Type-2 Fuzzy Sets for Evaluating Renewable Energy Alternatives in Turkey

Balın

Baraçlı

2015

Technological and Economic Development of Economy

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Abstract.Energy is substantial for social development and has an essential role for the survival and development of human as an environmental factor. Due to the serious increase ofthe world's primary energy price and rapid development of Turkey's economy, energy consumption of Turkey has become a major problem. For that purpose, opinions of the decision makers upon the relative importance of selection criteria are determined by using a fuzzy AHP procedure based upon type-2 fuzzy sets, and fuzzy multi-criteria decision-making based upon the interval type-2 TOPSIS method is used to rank the best renewable alternative energy. In this paper, a fuzzy multi criteria decision making (MCDM) methodology was proposed to determine the best renewable energy alternatives for Turkey, because type-2 fuzzy sets provide additional degrees of independence to represent the uncertainty and the fuzziness of real world applications. The results showed that wind was the best alternative for Turkey's energy investments, as being followed subsequently by solar, biomass, geothermal, hydraulic and hydrogen. The results were based upon the opinions of three energy planning experts who ranked the energy alternatives according to the ten criteria we have selected.

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“…a a = , then the type-2 fuzzy set A  became a triangular type-1 fuzzy set (Chen, Lee 2010b (Zadeh 1975;Mendel, John 2002;Mendel et al 2006;Chen, Lee 2010a):…”

Section: Type-2 Fuzzy Setsmentioning

confidence: 99%

A Fuzzy Multi-Criteria Decision Making Methodology Based Upon the Interval Type-2 Fuzzy Sets for Evaluating Renewable Energy Alternatives in Turkey

Balın

Baraçlı

2015

Technological and Economic Development of Economy

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“…It is the union of all primary memberships i.e., F OU (Ã) = ∪ x∈X J x . Definition 4 [15]: An interval type-2 fuzzy number is called a trapezoidal interval type-2 fuzzy number where the U M F and L M F are both trapezoidal fuzzy numbers, i.e.,…”

Section: Preliminariesmentioning

confidence: 99%

“…Han and Mendel [14] employed interval type-2 fuzzy numbers in choosing logistic location and the result has been proved to be more satisfying. Chen and Lee [15] proposed the definition of possibility degree of trapezoidal interval type-2 fuzzy numbers and some arithmetic operations.…”

Section: Introductionmentioning

confidence: 99%

Profit Maximization Solid Transportation Problem with Trapezoidal Interval Type-2 Fuzzy Numbers

Sinha

Das

Bera

2015

Int. J. Appl. Comput. Math

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This paper proposes a new concept on transportation problem in which, we maximize the profit and minimize the transportation time while transporting an amount of quantity from a source to the destination. Here, we design two transportation models, in both the models; we maximize the profit and minimize the time of transportation. Here model-I having the unit purchase cost, unit selling price, unit transportation cost and transportation time as trapezoidal interval type-2 fuzzy number, while in model-II all the parameters are trapezoidal interval type-2 fuzzy number. To reduce these model-I and model-II into crisp equivalent, we use the expected value of a trapezoidal interval type-2 fuzzy number. Then the crisp equivalent problems are solved by employing the Interactive fuzzy satisficing method and LINGO 13.0 software to get the optimal solution. A numerical example is provided to demonstrate the models.

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“…IT2FSs have increasingly been considered by researchers in applications and extensions of multi-criteria decision-making methods. Chen and Lee (2010) developed a new ranking method for interval type-2 fuzzy sets and used it in a new fuzzy MCDM method. Chen et al (2012) proposed a new ranking method and a new multi-criteria decision-making method with interval type-2 fuzzy sets.…”

Section: Introductionmentioning

confidence: 99%

Multi-criteria group decision-making using an extended edas method with interval type-2 fuzzy sets

Ghorabaee¹,

Amiri²,

Zavadskas³

et al. 2017

E+M

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Fuzzy multiple attributes group decision-making based on the ranking values and the arithmetic operations of interval type-2 fuzzy sets

Cited by 280 publications

References 21 publications

A Fuzzy Multi-Criteria Decision Making Methodology Based Upon the Interval Type-2 Fuzzy Sets for Evaluating Renewable Energy Alternatives in Turkey

A Fuzzy Multi-Criteria Decision Making Methodology Based Upon the Interval Type-2 Fuzzy Sets for Evaluating Renewable Energy Alternatives in Turkey

Profit Maximization Solid Transportation Problem with Trapezoidal Interval Type-2 Fuzzy Numbers

Multi-criteria group decision-making using an extended edas method with interval type-2 fuzzy sets

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