Survey on Theory and Applications of InterCriteria Analysis Approach

Chorukova, Elena; Marinov, Pencho; Umlenski, Ivo

doi:10.1007/978-3-030-72284-5_20

Cited by 10 publications

(6 citation statements)

References 66 publications

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“…Another application of the new operators will be in intercriteria analysis (see, e.g., [2,5], when the degree of uncertainty must be corrected because existing of lacks of evaluations of objects by given criteria. This application will be discussed in near future.…”

Section: Discussionmentioning

confidence: 99%

Intuitionistic fuzzy level operators related to degree of uncertainty

Atanassov

2023

NIFS

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Section: Discussionmentioning

confidence: 99%

Intuitionistic fuzzy level operators related to degree of uncertainty

Atanassov

2023

NIFS

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“…The intuitionistic fuzzy pairs, based on the intuitionistic fuzzy evaluations, are defined using the theory of intuitionistic fuzzy sets. The survey on theory and applications of ICA is presented in [7]. In the resent years the ICA is applied in different areas of interest to determine possible relationships between the dataeducation, medicine and healthcare, economics and finances, artificial intelligence [6, 8, 10 -11].…”

Section: Introduction To Intercriteria Analysis (Ica) and Turkish Hea...mentioning

confidence: 99%

InterCriteria Analysis applied to the Turkish Health and Social Protection datasets

Yordanov¹,

Bureva²,

Kahraman³

2023

NIFS

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“…The detailed presentation of the ICA method is given in [2] and the aspects of the computational complexity and influence of numerical precision on the results are discussed in [6], while the influence of the number of objects covered is studied in [16]. A recent bibliography of the papers with theoretical and application importance for the development of the ICA research is given in [7]. Software applications implementing the ICA algorithm have been developed by Mavrov and Ikonomov, and provided freely downloadable for the interested reader at https://intercriteria.net/software/, and described in details in several papers [10,11,13,14].…”

Section: Introductionmentioning

confidence: 99%

Interpreting the results of InterCriteria Analysis: Pareto principle at work

Atanassova,

Umlenski

2023

NIFS

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The present short note aims to propose a new, alternative, way to interpret the results of the intuitionistic fuzzy sets-based method for multicriteria decision support named InterCriteria Analysis. Given an <math>m \times n</math> dataset of multiple (''m'') objects evaluated numerically against multiple (''n'') criteria, the ICA method generates an <math>n \times n</math> table of intuitionistic fuzzy pairs <math>\langle \mu_{i,j}, \nu_{i,j} \rangle, \ i, j \in {1, 2, \ldots, n}</math> where the given pair indicates the extent of relation between the corresponding pair of criteria <math>C_i, C_j</math>. Traditionally, the interpretation of these intuitionistic fuzzy pairs regarding the extent of positive or negative dependence between two criteria (or, respectively, the lack of such) requires that two threshold values, both in the [0,1] interval too, are used. Now we propose to use only one such threshold value belonging to the [0,1] interval, for instance a minimal threshold of the degree of membership, while the other threshold {would} be essentially related to the size of the subset of intercriteria pairs being shortlisted for interpretation, rather than their degree of non-membership. We justify that the proposed approach, inspired by the Pareto Principle, in certain cases yields better results than the traditionally used one..

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Survey on Theory and Applications of InterCriteria Analysis Approach

Cited by 10 publications

References 66 publications

Intuitionistic fuzzy level operators related to degree of uncertainty

Intuitionistic fuzzy level operators related to degree of uncertainty

InterCriteria Analysis applied to the Turkish Health and Social Protection datasets

Interpreting the results of InterCriteria Analysis: Pareto principle at work

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