Intuitionistic fuzzy multi-criteria group decision making with an application to critical path selection

Mehlawat, Mukesh Kumar; Grover, Nishtha

doi:10.1007/s10479-017-2477-4

Cited by 9 publications

(5 citation statements)

References 21 publications

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“…The general decision-making method cannot be a more realistic reflection of the plan᾽s uncertainties. An intuitionistic fuzzy set offers a better way to deal with uncertain multi-attribute problems (Mehlawat & Grover, 2018;Rodríguez, Ortega, & Concepción, 2017;Ren, Xu, & Wang, 2017;Khemiri, Elbedouimaktouf, Grabot, & Zouari, 2017;Ye, 2017). Thus, the study introduces the intuitionistic fuzzy set to select a wastewater treatment plans.…”

Section: Introductionmentioning

confidence: 99%

A Group Decision-Making Model for Wastewater Treatment Plans Selection Based on Intuitionistic Fuzzy Sets

Zhou

Dou

Zhang

et al. 2018

Journal of Environmental Engineering and Landscape Management

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As the need for environmental protection and resource sustainability has increased in recent times, wastewater treatment has become increasingly important. In this paper, a group decision-making model for plans selection in wastewater treatment is proposed. In order to deal with uncertainties and multiple attributes in wastewater treatment, an intuitionistic fuzzy set is employed to evaluate wastewater treatment plans effectively. A distance measure is defined to obtain an objective weight measuring the expert’s judgment. More specifically, experts first use group decision-making on the various plans with an intuitionistic fuzzy set. Meanwhile, Due to the decision-makers psychological behavior, the prospect theory is applied. Next, the various plans are ranked by The Order of Preference by Similarity to Ideal Solution (TOPSIS) method and prospect theory. Finally, an illustrative example of wastewater treatment plans selection is used to verify the proposed model.

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Section: Introductionmentioning

confidence: 99%

A Group Decision-Making Model for Wastewater Treatment Plans Selection Based on Intuitionistic Fuzzy Sets

Zhou

Dou

Zhang

et al. 2018

Journal of Environmental Engineering and Landscape Management

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“…"1 − 2""Inspection of boiler" ( (12,14,16,18), "by boiler engineer and" (10,15,16,18)) "preparation of list of" "parts to be replaced" "1 − 3""Placing the order" "((4, 10, 14, 18), " "and purchasing" "(6, 10, 12, 14))" "1 − 2""Dismantling of the" "( (8,16,20,24), " "defective parts from" "(9, 13, 15, 17))" "the boiler" "2 − 6""Preparation of" "( (5,10,15,20), " "Necessary"…”

Section: Activity Description Activity Durationmentioning

confidence: 99%

“…" (12,14,15,17))" "instruction for" "repairs" "3 − 5""Repairing parts in" "( (12,13,15,18), " "the workshop" " (16,18,20,22))" "the boiler" "4 − 5""Installation of the" "((6, 10, 16, 24), " "repaired parts"…”

Section: Activity Description Activity Durationmentioning

confidence: 99%

“…"(1, 2, 5, 7))" "4 − 6""Inspection" "( (13,15,17,20), " " (11,15,18,19))" "5 − 6""Trail run" "((5, 7, 9, 15), " "(6, 10, 12, 14))" Hence the minimum completion duration of the intuitionistic fuzzy project duration is ((29,37,42,50), (22.5,26.5,29.5,31.5)) intuitionistic fuzzy months and ( (19,33,45,63); (16,25,32,38)) is the Jayagowri and Geetha Ramani's minimum completion duration of the project network for this same problem.…”

Section: Activity Description Activity Durationmentioning

confidence: 99%

“…"Sophia Porchelvi and Sudha [13] [14] proposed an algorithm to perform intuitionistic fuzzy critical path analysis, the length of which is the triangular intuitionistic fuzzy number. Mehlawat and Grover [15] proposed total performance score using strength and weakness index scores to identify the longest path of the project under intuitionistic fuzzy multi-criteria group decision making problem. Kiruthiga and Hemalatha [16] developed decision maker's risk attitude index and decision maker's risk index ranking value for critical path problem under intuitionistic fuzzy nature.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Study on Intuitionistic Fuzzy Critical Path Problems Through Centroid Based Ranking Method

Yogashanthi¹,

Sathish²,

Ganesan³

2022

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In this study the intuitionistic fuzzy version of the critical path method has been proposed to solve networking problems with uncertain activity durations. Intuitionistic fuzzy set [1] is an extension of fuzzy set theory [2] unlike fuzzy set, it focuses on degree of belonging, the degree of nonbelonging or non-membership function and the degree of hesitancy which helps the decision maker to adopt the best among the worst cases. Trapezoidal and the triangular intuitionistic fuzzy numbers are utilized to describe the uncertain activity or task durations of the project network. Here trapezoidal and triangular intuitionistic fuzzy numbers are converted into their corresponding parametric form and applying the proposed intuitionistic fuzzy arithmetic operations and a new method of ranking based on the parametric form of intuitionistic fuzzy numbers, the intuitionistic fuzzy critical path with vagueness reduced intuitionistic fuzzy completion duration of the project has been obtained. The authentication of the proposed method can be checked by comparing the obtained results with the results available in pieces of literature.

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Selection of waste water treatment plans alternative: a neutrosophy based MCDM approach

Bera,

Mahapatra

2023

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Intuitionistic fuzzy multi-criteria group decision making with an application to critical path selection

Cited by 9 publications

References 21 publications

A Group Decision-Making Model for Wastewater Treatment Plans Selection Based on Intuitionistic Fuzzy Sets

A Group Decision-Making Model for Wastewater Treatment Plans Selection Based on Intuitionistic Fuzzy Sets

A Study on Intuitionistic Fuzzy Critical Path Problems Through Centroid Based Ranking Method

Selection of waste water treatment plans alternative: a neutrosophy based MCDM approach

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