Industrial applications of type-2 fuzzy sets and systems: A concise review

Multi-Criteria and Multi-Stage Facility Location Selection under Interval Type-2 Fuzzy Environment: A Case Study for a Cement Factory

“…Type-2) helps to cope with inexact information. 42 Additionally, according to Dereli et al 9 , when there is high uncertainty, Type-2 fuzzy sets provide reliable and robust results and it is a useful tool to model vagueness and ambiguity. Moreover, some authors [44][45] have addressed that Type-2 fuzzy sets (T2FSs) may give us more degrees of freedom; so that, T2FSs express uncertainty and vagueness of the real world better.…”

“…44 Even though it was introduced in 1970s, there were a few studies related with T2FSs until 1990s. 9 Researchers applied T2FSs for a variety of reasons. For instance, if precise membership functions are impossible to define and to handle a variety of uncertainties such as linguistic uncertainty, vagueness, incomplete information, Type-2 fuzzy sets are suggested to be used; so that uncertainty can be modeled in a better way.…”

“…70 The membership functions in Type-2 fuzzy sets are expressed with more parameters compared to Type-1 fuzzy sets. 9 Type-1 fuzzy sets have crisp membership functions in [0,1] whereas Type-2 fuzzy sets have fuzzy membership functions which are expressed with Type-1 fuzzy sets. In this study, trapezoidal interval Type-2 fuzzy sets are employed.…”

“…Although site selection in the manufacturing sector has usually been based on cost factor, in recent years environmental and social factors have been growing importance on location selection decisions for plants as indicated by several authors. [3][4][5][6][7][8][9][10][11][12] A study conducted in the cement sector by the authors of Dey and Ramcharan 12 presented technical factors including resource availability, physical characteristics, economic factors; environmental factors consisting of marine-terrestrial flora and fauna; socio-cultural factors including infrastructure, affects on heritage, proximity of existing operations and national planning factors mainly national and economic policy and physical development for site selection by emphasizing the importance of the site selection for supporting cement production. Tabari et al 13 considered tangible factors mainly cost components including land cost, transportation cost, energy cost, raw material cost and critical factors including political factors and marginal risks.…”

“…8 Although this kind of problem has inherently more uncertainty, to the best of the authors' knowledge, there is no study applying Type-2 fuzzy sets (T2FSs) for a facility location selection problem. On the other hand, researchers 9 have highlighted that there have been a limited number of studies involving industrial applications of T2FSs and there has been a need to resolve the problems that were solved by using Type-1 fuzzy sets. So, the motivation for conducting the study comes from the literature review indicating the availability and criticality high uncertainties on the location selection decision making process as well as the lack of studies using Type-2 fuzzy sets to handle uncertainties and vagueness for solving the problems in the multiple industrial environments.…”