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Z-Distance Based IF-THEN Rules.

Aliev RA, Huseynov OH, Zulfugarova RX - ScientificWorldJournal (2016)

Bottom Line: The concept of distance is one of the important concepts for handling imperfect information in decision making and reasoning.In this paper, we, for the first time, apply the concept of distance of Z-numbers to the approximate reasoning with Z-number based IF-THEN rules.We provide an example on solving problem related to psychological issues naturally characterized by imperfect information, which shows applicability and validity of the suggested approach.

View Article: PubMed Central - PubMed

Affiliation: Joint MBA Program, USA, Azerbaijan, Azerbaijan State Oil and Industry University, 20 Azadlig Avenue, 1010 Baku, Azerbaijan; Department of Computer Engineering, Near East University, Lefkoşa, Northern Cyprus, Mersin 10, Turkey.

ABSTRACT
Decision making, reasoning, and analysis in real-world problems are complicated by imperfect information. Real-world imperfect information is mainly characterized by two features. In view of this, Professor Zadeh suggested the concept of a Z-number as an ordered pair Z = (A, B) of fuzzy numbers A and B, the first of which is a linguistic value of a variable of interest, and the second one is a linguistic value of probability measure of the first one, playing a role of its reliability. The concept of distance is one of the important concepts for handling imperfect information in decision making and reasoning. In this paper, we, for the first time, apply the concept of distance of Z-numbers to the approximate reasoning with Z-number based IF-THEN rules. We provide an example on solving problem related to psychological issues naturally characterized by imperfect information, which shows applicability and validity of the suggested approach.

No MeSH data available.


Linguistic terms for a value of achievement.
© Copyright Policy - open-access
Related In: Results  -  Collection


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fig4: Linguistic terms for a value of achievement.

Mentions: Here, the pairs (·,·) are Z-numbers where uppercase letters denote the following linguistic terms: H, High; L, Low; M, Medium; G, Good; E, Excellence; U, Usually. The codebooks containing linguistic terms of values of antecedents and consequents are given in Figures 1, 2, 3, and 4. The codebook for the degrees of reliability of values of antecedents and consequents is shown in Figure 5.


Z-Distance Based IF-THEN Rules.

Aliev RA, Huseynov OH, Zulfugarova RX - ScientificWorldJournal (2016)

Linguistic terms for a value of achievement.
© Copyright Policy - open-access
Related In: Results  -  Collection

Show All Figures
getmorefigures.php?uid=PMC4863133&req=5

fig4: Linguistic terms for a value of achievement.
Mentions: Here, the pairs (·,·) are Z-numbers where uppercase letters denote the following linguistic terms: H, High; L, Low; M, Medium; G, Good; E, Excellence; U, Usually. The codebooks containing linguistic terms of values of antecedents and consequents are given in Figures 1, 2, 3, and 4. The codebook for the degrees of reliability of values of antecedents and consequents is shown in Figure 5.

Bottom Line: The concept of distance is one of the important concepts for handling imperfect information in decision making and reasoning.In this paper, we, for the first time, apply the concept of distance of Z-numbers to the approximate reasoning with Z-number based IF-THEN rules.We provide an example on solving problem related to psychological issues naturally characterized by imperfect information, which shows applicability and validity of the suggested approach.

View Article: PubMed Central - PubMed

Affiliation: Joint MBA Program, USA, Azerbaijan, Azerbaijan State Oil and Industry University, 20 Azadlig Avenue, 1010 Baku, Azerbaijan; Department of Computer Engineering, Near East University, Lefkoşa, Northern Cyprus, Mersin 10, Turkey.

ABSTRACT
Decision making, reasoning, and analysis in real-world problems are complicated by imperfect information. Real-world imperfect information is mainly characterized by two features. In view of this, Professor Zadeh suggested the concept of a Z-number as an ordered pair Z = (A, B) of fuzzy numbers A and B, the first of which is a linguistic value of a variable of interest, and the second one is a linguistic value of probability measure of the first one, playing a role of its reliability. The concept of distance is one of the important concepts for handling imperfect information in decision making and reasoning. In this paper, we, for the first time, apply the concept of distance of Z-numbers to the approximate reasoning with Z-number based IF-THEN rules. We provide an example on solving problem related to psychological issues naturally characterized by imperfect information, which shows applicability and validity of the suggested approach.

No MeSH data available.