Evaluation of Tourist Destinations Carrying Capacity in a Decision-Making Context With Muirhead Means Aggregation Operator in q-Rung Orthopair Fuzzy Hypersoft Environment

Abstract

Navigating the intricate and ever-expanding globe poses greater challenges in decision-making due to the uncertain nature of the environment. This study aims to cope with the imprecisions and such challenges in decision-making due to the uncertain nature of the environment and extend the formal representation of the human mind in terms of the q-rung Orthopair fuzzy hypersoft set (q-ROFHSS). It provides a multi-parameterized mathematical framework that effectively expresses problems with multi-dimensional information within a dataset. Thus, the proposed theory accumulates the parametric structure of q-rung Orthopair fuzzy sets (q-ROFS) and hypersoft sets (HSS) under the Muirhead mean (MM) aggregation operator (AO), as the AO can deal with ambiguous and uncertain information. By establishing basic set-theoretic operations, we have presented some fundamental properties and basic operations using the q-rung Orthopair fuzzy hypersoft values (q-ROFHSV). To demonstrate its flexibility, the relationship between the proposed approach and existing state-of-the-art techniques has been defined. Further, the feasibility of the proposed approach has been showcased through a case study of tourism carrying capacity, as it is a widespread activity that allows people to escape from their daily routines and explore new destinations for various reasons, including leisure, pleasure, or business. By implementing the proposed approach, an effective plan can be developed for social and economic development while avoiding detrimental effects such as overcrowding or environmental damage caused by tourism.

Keywords

• q-rung orthopair fuzzy hypersoft set (q-ROFHSS)
• decision-making
• tourism carrying capacity
• Muirhead mean (MM)
• aggregation operator (AO)