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A New Method for Solving Fully Fuzzy Linear Programming Problems by Using the Lexicography Method
Mohammad Mehdi Shamooshaki,
Ali Hosseinzadeh,
Seyyed Ahmad Edalatpanah
Issue:
Volume 4, Issue 1-2, January 2015
Pages:
1-3
Received:
10 October 2014
Accepted:
20 October 2014
Published:
24 October 2014
DOI:
10.11648/j.acm.s.2015040102.11
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Abstract: In this paper by using the lexicography method, we proposed a new model to solve fully fuzzy linear programming problem with L-R fuzzy number and find the fuzzy optimal solution of it. Our method has graceful structure and is easy to implement compared with some existing methods. To illustrate our method, a numerical example is solved.
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ON (m, n) –Upper Q-Fuzzy Soft Subgroups
Rathinam Nagarajan,
K. Venugopal
Issue:
Volume 4, Issue 1-2, January 2015
Pages:
4-9
Received:
5 September 2014
Accepted:
25 September 2014
Published:
3 November 2014
DOI:
10.11648/j.acm.s.2015040102.12
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Abstract: In this paper we shall study some properties for upper Q- fuzzy subgroups, some lemma and theorem for this subject. We shall study the upper Q- fuzzy index with the upper fuzzy sub groups; also we shall give some new definitions for this subject. On the other hand we shall give the definition of the upper normal fuzzy subgroups, and study the main theorem for this. We shall also give new results on this subject.
Abstract: In this paper we shall study some properties for upper Q- fuzzy subgroups, some lemma and theorem for this subject. We shall study the upper Q- fuzzy index with the upper fuzzy sub groups; also we shall give some new definitions for this subject. On the other hand we shall give the definition of the upper normal fuzzy subgroups, and study the main...
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A Note on Zadeh's Extension Principle
Issue:
Volume 4, Issue 1-2, January 2015
Pages:
10-14
Received:
27 November 2014
Accepted:
2 December 2014
Published:
27 December 2014
DOI:
10.11648/j.acm.s.2015040102.13
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Abstract: For a mapping, fuzzy sets obtained by Zadeh's extension principle are images of other fuzzy sets on the domain of the mapping under the mapping. Some relationships between images of level sets of one or two fuzzy sets under a mapping and another fuzzy set obtained from the one or two fuzzy sets by Zadeh's extension principle are known. In the present paper, the known results are extended to more general ones, and some useful results for applications are derived by the extended ones.
Abstract: For a mapping, fuzzy sets obtained by Zadeh's extension principle are images of other fuzzy sets on the domain of the mapping under the mapping. Some relationships between images of level sets of one or two fuzzy sets under a mapping and another fuzzy set obtained from the one or two fuzzy sets by Zadeh's extension principle are known. In the prese...
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Pseudo Similar Intuitionistic Fuzzy Matrices
T. Gandhimathi,
A. R. Meenakshi
Issue:
Volume 4, Issue 1-2, January 2015
Pages:
15-19
Received:
28 November 2014
Accepted:
24 December 2014
Published:
31 December 2014
DOI:
10.11648/j.acm.s.2015040102.14
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Abstract: In this paper, we shall define Pseudo Similarity and Semi Similarity for Intuitionistic Fuzzy Matrix (IFM) and prove that the Pseudo similarity relation on a pair of IFMs is inherited by all its powers and their transposes are similar. Also we exibit that the Pseudo similarity relation preserve regularity and impotency of their matrices.
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Linear Fractional Multi-Objective Optimization Problems Subject to Fuzzy Relational Equations with the Max-Average Composition
Z. Valizadeh-Gh,
E. Khorram
Issue:
Volume 4, Issue 1-2, January 2015
Pages:
20-30
Received:
21 December 2014
Accepted:
19 January 2015
Published:
8 February 2015
DOI:
10.11648/j.acm.s.2015040102.15
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Abstract: In this paper, linear fractional multi-objective optimization problems subject to a system of fuzzy relational equations (FRE) using the max-average composition are considered. First, some theorems and results are presented to thoroughly identify and reduce the feasible set of the fuzzy relation equations. Next, the linear fractional multi-objective optimization problem is converted to a linear one using Nykowski and Zolkiewski's approach. Then, the efficient solutions are obtained by applying the improved ε-constraint method. Finally, the proposed method is effectively tested by solving a consistent test problem.
Abstract: In this paper, linear fractional multi-objective optimization problems subject to a system of fuzzy relational equations (FRE) using the max-average composition are considered. First, some theorems and results are presented to thoroughly identify and reduce the feasible set of the fuzzy relation equations. Next, the linear fractional mul...
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