Organizacija, Volume 41 Research papers Number 3, May-June 2008 Fuzzy SERVQUAL Analysis in Airline Services Ozlem Aydin1, Fatma Pakdil, MBA2 Basent University, Faculty of Science and Letters, Department of Statistics and Computer Sciences, 06530, Baöljca, Ankara, Turkey, ozlem@baskent.edu.tr Basent University, Faculty of Engineering, Department of Industrial Engineering, 06530, Baöljca, Ankara, Turkey fpakdil@baskent.edu.tr This study is aimed at measuring and summarizing the perceived and expected service quality of passengers of an international airline and to provide the passengers’ opinions to the decision makers employing fuzzy logic. The appropriate fuzzifica-tion procedure was determined to be the trapezoidal membership function. Using SERVQUAL methodology, the optimal fuzzy interval of the gap scores was determined for each item. The interpretations of these fuzzy intervals were categorized into three areas - optimistic, neutral and pessimistic passenger views - to assist the decision makers in identifying which items of services are satisfactory and which are in need of improvement. Key words: Airline service quality, fuzzy numbers, fuzzy SERVQUAL scores. 1 Introduction Today, most airline firms have recognized the importance of service quality. As Ostrowski (1993) said, the delivery of a high quality service become a marketing requirement among air carriers and continuing to provide perceived high quality services would help airlines acquire and retain customer loyalty (Chang and Yeh, 2002). In evaluating quality, understanding the passengers’ expectations and measuring the service quality they desire plays a major role. Parasuraman et al. (1985, 1988) developed SERVQUAL for measuring service quality in organizations (Cavana et al, 2007) and since then, SERVQUAL has been used as an acceptable instrument in service quality studies. However, SERVQUAL-based studies of airline service quality are limited. With this as a starting point, this study focuses on measuring airline service quality from the point of view of international passengers using the SERVQUAL model with fuzzy logic. It also demonstrates how an airline firm can utilize a diagnostic tool when managing its service quality based on passenger opinions. SERVQUAL studies of airline service quality are commonly performed by calculating the mean averages of the passengers’ gap scores. As a SERVQUAL questionnaire is built using Likert scaling, the categories are ranked in ordinal scales, which indicates that the calculation of mean scores is not an efficient method of evaluation (Pakdil and Aydin, 2007). For a ranking scale, frequencies or percentages are offered to obtain reliable conclusions. Nevertheless, if the evaluation is performed by mean averages or standard deviations, the passengers’ raw scores should be transformed into quantitative interval scores. For this reason, this study offers fuzzy numbers in the measurement of service quality. Fuzzy quality is an overall comprehensive reflection of clear quality (Yongting, 1996). Yongting (1996) points out that, although fuzzy quality and clear quality are completely different, they can be transformed into each other and are also consistent with each other. Additionally, fuzzy logic enables analysis using ill-defined sampling or where there is missing data. In survey analysis, including SERVQUAL, it is hard to achieve an optimal sample that includes equally distributed gender, nationality, marital status, educational level and so forth. Therefore, generalizing the findings of a survey is quite risky, as the applicants in the sample cannot sufficiently reflect the quality evaluations of all passengers. Furthermore, a questionnaire itself is a subjective tool and daily variables can affect the results. The passengers’ perceptions can change depending on their mood during the response time - or the purpose of the flight can also affect responses while filling in the questionnaire form. Passengers leaving for a holiday would be more optimistic than those ones flying for business purposes (Pakdil and Aydin, 2007). For this reason, we propose to analyze the responses using imprecision methods. Fuzzy logic is a way to analyze when some defects exist in the data or in the sample. It allows one to obtain results for different types of customers or managers. Fuzzy logic keeps in mind that a 108 Organizacija, Volume 41 Research papers Number 3, May-June 2008 perception of an item would be different for optimistic and pessimistic passengers. This may also be true for the quality manager of the firm. An optimistic manager would be more easily satisfied with the service quality analyses results than a pessimistic manager. Hence, while a pessimistic (risk averse) manager would improve an item, the other may not perceive a need for any improvement on the same item. For this reason, this study utilizes fuzzy logic to offer different solutions for differently characterized passengers and managers. Although there are some fuzzy related quality studies for airlines (Tsaur et al, 2002; Chang and Yeh, 2002; Wang, 2008), this study is focused on the fuzzy SERVQUAL scores of airline services. This study is an evaluation of just one specific airline firm, whereas former studies depended on ranking alternatives by analyzing three or more different firms. 2 Fuzzy Logic and Fuzzy Numbers Fuzzy sets were introduced in 1965 by Lotfi Asker Zadeh in order to define human knowledge using mathematical expressions. When the main concern is with the meaning of information-rather than with its measurement, the proper framework for information analysis is possibilistic. Thus implying that what is needed for this analysis is not called the theory of possibility (Zadeh, 1999). Since then, fuzzy sets and fuzzy logic have been widely used in cases of ill-defined or incomplete data and for expressing the satisfaction preferences of personal evaluations. Uncertainty in the model, without the importance of the reason, can be eliminated using fuzzy numbers and crisp intervals can then be provided for decision makers. Crisp intervals are called a-cut sets in fuzzy theory and they reflect the optimal decisions, depending on the risk attitude of the decision maker. Fuzzy numbers are presented with their membership functions. DEFINITION 1. A fuzzy set A in a universe of discourse X is characterized by a membership function which associates each element x in X, with a real number within the interval of [0,1]. The definition of implies that the degree of possibility may be any number in the interval of [0,1], rather than just a 0 or a 1. The function value H-~A \x) terms the grade of membership of x in A (Zadeh, 1999; Chen, 2000). DEFINITION 2. Let A be a fuzzy set and A*A \x) be the membership function for x e A , if HA x is defined as below; ě A x): (x-a) (b-a)' (d — x) (d-c) a< x f \ j 1 1 1 / 1> tu OB t t 1 • =3 si f |\ 1* ~Si> f 1 I 4 1 1 % /1 1 ur, 1 / \ I ' / % i \ *>» Y S S? i ci o ci