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image of Bipolar Expected Value-based MCDM Technique for Wastewater Management under Trapezoidal Bipolar Fuzzy Environment

Abstract

Kolkata is located on western bank of the Hooghly River. Wastewater from the city is discharged into this river and pollutes the river water. It causes maximum negative effects than positive impacts. Many uncertainties and bipolarity occur for this reason. Through the bipolar fuzzy concept, we can easily take the determination for this situation. A bipolar fuzzy expected is an effective tool for illustrating uncertainty and fuzziness in a decision-making problem. Therefore, in this paper, we have invented the bipolar expected value of bipolar fuzzy numbers. In addition, we have invented a few formulae and a theorem based on bipolar expected values. Using this bipolar expected value, we developed a novel MCDM technique, and it's employed for wastewater management problems in Kolkata city under a bipolar environment. Numerically, we have solved the wastewater management problem under a bipolar fuzzy environment.

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2024-10-31
2025-01-31
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  • Article Type:
    Research Article
Keywords: trapezoidal bipolar fuzzy ; MCDM ; Bipolar expected value ; waste water management
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