A new approach for ranking of trapezoidal fuzzy numbers

The purpose of this chapter is to introduce a new approach for an assessment of the credit risks. The initial part of the chapter is to briefly discuss the existing models of assessment of the credit risks and justify the need for a new approach. Since a new approach is created for conditions of uncertainty, we cannot do without fuzzy mathematics. The proposed approach is based on group decision-making, where experts’ opinions are expressed by trapezoidal fuzzy numbers. The theoretical basis of the offered approach is laid out in the metric space of trapezoidal fuzzy numbers. The new approach is introduced and discussed, and two realization algorithms are given. The toy example of application of the introduced approach is offered as well.

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A new approach to similarity measure for generalized trapezoidal fuzzy numbers and its application to fuzzy risk analysis

Granular Computing ◽

10.1007/s41066-020-00227-1 ◽

2020 ◽

Author(s):

Sanjib Sen ◽

Kartik Patra ◽

Shyamal Kumar Mondal

Keyword(s):

Risk Analysis ◽

Similarity Measure ◽

Fuzzy Numbers ◽

New Approach ◽

Trapezoidal Fuzzy Numbers ◽

Fuzzy Risk Analysis ◽

Generalized Trapezoidal Fuzzy Numbers

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A new approach for ranking nonnormal p-norm trapezoidal fuzzy numbers

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2010.12.036 ◽

2011 ◽

Vol 61 (4) ◽

pp. 881-887 ◽

Cited By ~ 15

Author(s):

Amit Kumar ◽

Pushpinder Singh ◽

Amarpreet Kaur ◽

Parmpreet Kaur

Keyword(s):

Fuzzy Numbers ◽

New Approach ◽

Trapezoidal Fuzzy Numbers

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A new Approach for Obtaining Optimal Solution of Unbalanced Fuzzy Transportation Problem

INTERNATIONAL JOURNAL OF COMPUTERS & TECHNOLOGY ◽

10.24297/ijct.v15i6.3977 ◽

2016 ◽

Vol 15 (6) ◽

pp. 6824-6832

Author(s):

Nidhi Joshi ◽

Surjeet Singh Chauhan

Keyword(s):

Transportation Problem ◽

Fuzzy Numbers ◽

Optimal Solution ◽

New Approach ◽

Trapezoidal Fuzzy Numbers ◽

Numerical Example ◽

Fuzzy Optimal Solution ◽

Fuzzy Transportation Problem ◽

Ranking Technique

The present paper attempts to study the unbalanced fuzzy transportation problem so as to minimize the transportationcost of products when supply, demand and cost of the products are represented by fuzzy numbers. In this paper, authorsuse Roubast ranking technique to transform trapezoidal fuzzy numbers to crisp numbers and propose a new algorithm tofind the fuzzy optimal solution of unbalanced fuzzy transportation problem. The proposed algorithm is more efficient thanother existing algorithms like simple VAM and is illustrated via numerical example. Also, a comparison between the resultsof the new algorithm and the result of algorithm using simple VAM is provided.

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BOUNDED LINEAR PROGRAMS WITH TRAPEZOIDAL FUZZY NUMBERS

International Journal of Uncertainty Fuzziness and Knowledge-Based Systems ◽

10.1142/s0218488510006532 ◽

2010 ◽

Vol 18 (03) ◽

pp. 269-286 ◽

Cited By ~ 26

Author(s):

ALI EBRAHIMNEJAD ◽

SEYED HADI NASSERI ◽

FARHAD HOSSEINZADEH LOTFI

Keyword(s):

Linear Programming ◽

Fuzzy Numbers ◽

Natural Extension ◽

Upper Bounds ◽

Linear Programs ◽

Bounded Linear ◽

New Approach ◽

Trapezoidal Fuzzy Numbers ◽

Linear Programming Problems ◽

Crisp Linear Programming

Recently Ganesan and Veeramani introduced a new approach for solving a kind of linear programming problems involving symmetric trapezoidal fuzzy numbers without converting them to the crisp linear programming problems. But their approach is not efficient for situations in which some or all variables are restricted to lie within fuzzy lower and fuzzy upper bounds. In this paper, by a natural extension of their approach we obtain some new results leading to a new method to overcome this shortcoming.

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