Development of hamming and hausdorff distance metrics for cubic intuitionistic fuzzy hypersoft set in cement storage quality control: Development and evaluation

Abstract

Quality control is paramount in product manufacturing as it ensures consistent production to meet customer expectations, regulatory requirements and maintain a company’s reputation and profitability. Distance measures within fuzzy sets serve as powerful tools for quality control, allowing for data comparison and identification of potential defects or outliers within a system. This study aims to develop a hybrid concept by combining a Cubic Intuitionistic Fuzzy Set (CIFS) with Soft Set (SS) and extending it to Cubic Intuitionistic Fuzzy Hypersoft Set (CIFHSS). CIFHSS enables handling multiple distinct attributes at the sub-attribute level within a cubic set environment. The concept includes operations like internal, partial internal, external, complement, direct sum, and product. Additionally, six distance metrics are defined within CIFHSS and applied to establish a quality control management system for industrial applications. The versatility of CIFHSS in quality control management stems from its ability to capture and model uncertainty, vagueness, and imprecision in data. This makes it an effective tool for decision-making, risk analysis, and process optimization across a wide range of industrial applications.

N-bipolar hypersoft sets: Enhancing decision-making algorithms

“…The concept of soft sets, introduced by Molodtsov [4], emerged as a solution to overcome limitations in previous models and has become integral in various fields, including decisionmaking [5][6][7][8][9], medical diagnosis [10], and data analysis [11]. In terms of theoretical progress, Maji et al [12] made significant contributions by introducing fundamental algebraic operations for soft sets.…”

A progressive approach to multi-criteria group decision-making: N-bipolar hypersoft topology perspective

“…Soft set has found wideranging applications in various fields, including game theory, probability theory, smoothness of functions, Riemann integration, operations research, and Perron integration. Recently, researchers have shown significant interest in soft set and its various extensions [14][15][16][17][18][19][20][21][22].…”