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Application of novel intuitionistic fuzzy BWAHP process for analysing the efficiency of water treatment plant

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Abstract

In this investigation, we have put forward a novel multi-criteria decision-making (MCDM) technique, intuitionistic fuzzy best–worst method (intuitionistic fuzzy BWM). Moreover, we have designed a novel hybrid MCDM technique called intuitionistic fuzzy best–worst analytic hierarchy process (intuitionistic fuzzy BWAHP) which is the amalgamation of intuitionistic fuzzy BWM and analytic hierarchy process (AHP). In this study, BWM finds its use to evaluate the weightage (or priority value) of criteria, and using AHP, the local weights of alternatives are decided. The proposed technique is utilized to recognize the most significant alternative (or indicator), for the efficiency of a water treatment plant. Observing the result, it can be said that the ‘water quality’ is the most responsible alternative. The consistency ratio value which is found by our proposed method is less, compared to the existing BWM and fuzzy BWM techniques. Finally, using a comparative study and sensitivity analysis, we verify the findings produced by our proposed method.

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Abbreviations

A 1 :

Length/density of pipelines

A 2 :

Weather pattern

A 3 :

Quality of incoming water

A 4 :

Labour efficiency

A 5 :

Availability of dosing chemicals

A 6 :

Efficiency of instrument

AI:

Absolute importance

AHP:

Analytic hierarchy process

B :

Beneficial

BWM:

Best–worst method

C 1 :

Operational efficiency

C 2 :

Operational expenditure

C 3 :

Impact of climate change

CI:

Consistency index

CR:

Consistency ratio

DM:

Decision maker

EI:

Equal importance

Fuzzy AHP:

Fuzzy analytic hierarchy process

Fuzzy ANP:

Fuzzy analytic network process

Fuzzy DEA:

Fuzzy data envelopment analysis

Fuzzy ELECTRE:

Fuzzy elimination and choice translating reality

Fuzzy TOPSIS:

Fuzzy technique for order preference by similarities to ideal solution

Fuzzy VIKOR:

Fuzzy VIšekriterijumsko KOmpromisno Rangiranje

IFRC:

Intuitionistic fuzzy reference comparison

IFS:

Intuitionistic fuzzy sets

Intuitionistic fuzzy BWM:

Intuitionistic fuzzy best–worst method

Intuitionistic fuzzy BWAHP:

Intuitionistic fuzzy best–worst analytic hierarchy process

MCDM:

Multi-criteria decision making

MI:

Moderate importance

NB:

Non-beneficial

PV:

Priority value

PVs:

Priority values

SI:

Strong importance

S.I.:

Score index

TIFN:

Triangular intuitionistic fuzzy number

VSI:

Very strong importance

WTP:

Water treatment plant

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Authors and Affiliations

  1. Department of Basic Science and Humanities, Techno College of Engineering Agartala, Maheshkhola, Agartala, Tripura (W), Madhuban, Tripura, 799004, India

    Priyanka Majumder

  2. Department of Electronics and Instrumentation Engineering, National Institute of Technology Silchar, Silchar, Cachar, Assam, 788010, India

    Dayarnab Baidya

  3. Department of Civil Engineering, National Institute of Technology, Agartala, Barjala, Jirania, Tripura, 799046, India

    Mrinmoy Majumder

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  1. Priyanka Majumder
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Majumder, P., Baidya, D. & Majumder, M. Application of novel intuitionistic fuzzy BWAHP process for analysing the efficiency of water treatment plant. Neural Comput & Applic 33, 17389–17405 (2021). https://doi.org/10.1007/s00521-021-06326-7

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