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Waste produced from medical facilities systems incorporates a blend of dangerous waste which can posture dangers to humans and ecological receptors. Lacking administration of healthcare waste can prompt hazard to medicinal service specialists, patients, public health, communities and the wider environment. Hence, proper management of healthcare waste is imperative to reduce the associated health and environment risk. In this paper, we extend the MULTIMOORA decision making method with intuitionistic hesitant fuzzy set to evaluate the healthcare waste treatment methods. Intuitionistic hesitant fuzzy set is a generalized form of a hesitant fuzzy set. Intuitionistic hesitant fuzzy set considers the uncertainty of data in a single framework and take more information into account. The MULTIMOORA method consists of three parts namely the ratio system, reference point approach and the full multiplicative form. In the optimal ranking methods, the IHF-MULTIMOORA method is uncomplicated it is able to be used practically with high dimension intuitionistic hesitant fuzzy sets. For pathological, pharmaceutical, sharp, solid and chemical wastes, the preferred waste disposal methods are deep burial, incineration, autoclave, deep burial, and chemical disinfection, respectively.

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Reuse of wastewater is considered a major source of water retention and improvement in drought prone areas. The water recovered from renewable water resource project is used for many utilities. Here, every application is considered to be an alternative. When assessing, it is necessary to evaluate and assume that all users are safe and helpful. In this way, every alternative assessment is evaluated based on the social acceptance, environmental protection, economy, technology and operation and health risk. Then the best alternative is chosen. When recycled water is recovered and we reuse in water management plants, it can lead to multi-criteria decision making processes related to uncertain critical assessments. In general hesitant fuzzy set is represented by a number of possible values for each of element in a set. Hesitant set is used as a powerful tool to express uncertainty and hesitant information in the decision processor. The aim of this research article is to propose a new methodology of MCDM in hesitant fuzzy (HF) namely, HF-CRITIC (Hesitant Fuzzy Criteria Importance Through Inter-criteria Correlation) and HF-MAUT (Hesitant Fuzzy Multi Attribute Utility Theory) to get hesitant fuzzy information in order to select the best alternative for using reclaimed water use in India. Here, five reclaimed water plants have been identified as alternatives. These alternatives are evaluated with five criteria namely social, economic, environmental, technical/operation and health risk. After evaluation, the result shows that ground water recharge is the best alternative for reclaimed water use.

In this article, we focus on linear and nonlinear fuzzy Volterra integral equations of the second kind and we propose a numerical scheme using homotopy perturbation method (HPM) to obtain fuzzy approximate solutions to them. To facilitate the benefits of this proposal, an algorithmic form of the HPM is also designed to handle the same. In order to illustrate the potentiality of the approach, two test problems are offered and the obtained numerical results are compared with the existing exact solutions and are depicted in terms of plots to reveal its precision and reliability.