Fuzzy Sets in the Evaluation of Socio-Ecological Systems: An Interval-Valued Intuitionistic Fuzzy Multi-criteria Approach

Abstract

In recent days, the use of the fuzzy set theory to deal with social complexity has become more attractive as a research area to academics who wish to contribute to sustainable development. The socio-ecological systems are one of the well-known sub-disciplines of social science which is very critical issue to maintain sustainability and this concept basically concerns with the human-environment interactions. These systems involve various stakeholders with different levels of knowledge and experience from diverse social platforms. The basic characteristic of these systems is identified as having high level of uncertainty and incomplete information. The main purpose of this chapter is to demonstrate how to incorporate fuzzy sets theory into social sciences. In this chapter, an illustrative example which consists of a wide variety of social actors is used to evaluate sustainable management options utilizing the extended technique for order preference by similarity to ideal solution (TOPSIS) method for interval valued intuitionistic fuzzy multi-criteria group decision making.

Risks assessment in Moroccan microfinance sector

“…37 IVIFN: interval-valued intuitionistic fuzzy number. Source: Adapted from Ervural et al 44 and Chang and Cheng. 37 IVIFN: interval-valued intuitionistic fuzzy number.…”

“…In addition, as risks are interlinked, the correlation among them also needs to be studied. Source: Adapted from Ervural et al 44 and Chang and Cheng. 37 IVIFN: interval-valued intuitionistic fuzzy number.…”

“…Each risk is evaluated with respect to three criteria: severity (S), occurrence (O), and detection (D). 46 The decision maker is asked to assign weights for criteria and then to rate independently the different risks within the Moroccan Microfinance sector using the linguistic scales 37,44 (see Appendix 1). The decision makers' judgements are then transformed into their corresponding IVIFNs.…”

“…The probability of risks. Adapted from Ervural et al44 and Chang and Cheng 37. IVIFN: interval-valued intuitionistic fuzzy number.…”

Intuitionistic Fuzzy Multiple Criteria Group Decision Making: A Consolidated Model With Application to Emergency Plan Selection

“…The elements of a decision matrix comprise the performance evaluation information of alternatives on each criterion, while the elements of a preference matrix comprise the preference evaluation information obtained by pairwise comparisons of each two alternatives with regard to a criterion [17], [18], [68]. The evaluation information in these two types of matrix takes different formats, such as real numbers (crisp), 2-tuple models, fuzzy numbers, or linguistic information [13], [15], [25], [53], [62]. Owing to the increasing complexity and uncertainty of the decision-making environment, DMs prefer to articulate evaluation information in the form of fuzzy sets.…”