doi:10.1088/1757-899X/571/1/012026

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Publication Date

Mon Jul 01 2019

Journal Name

Iop Conference Series: Materials Science And Engineering

Volume

571

DOI

10.1088/1757-899X/571/1/012026

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Fuzzy orbit topological spaces

R N

S A

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AbstractThe concept of fuzzy orbit open sets under the mapping <italic>f</italic>:<italic>X</italic> → <italic>X</italic> in a fuzzy topological space (<italic>X</italic>,<italic>τ</italic>) was introduced by Malathi and Uma (2017). In this paper, we introduce some conditions on the mapping <italic>f</italic>, to obtain some properties of these sets. Then we employ these properties to show that the family of all fuzzy orbit open sets construct a new fuzzy topology, which we denoted by <italic>τ</italic> <italic>F0</italic> coarser than <italic>τ</italic>. As a result, a new fuzzy topological space (<italic>X</italic>, <italic>τ</italic> <italic>F0</italic> ) is obtained. We refer to this topological space as a fuzzy orbit topological space. In addition, we define the notion of fuzzy orbit interior (closure) and study some of their properties. Finally, the category of fuzzy orbit topological spaces <inline-formula> <tex-math> <?CDATA ${\mathbb{F}}{\mathbb{O}}TOP$?> </tex-math> <math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="block" overflow="scroll"> <mrow> <mi mathvariant="double-struck">F</mi> <mi mathvariant="double-struck">O</mi> <mi>T</mi> <mi>O</mi> <mi>P</mi> </mrow> </math> <inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="MSE_571_1_012026_ieqn1.gif" xlink:type="simple"></inline-graphic> </inline-formula> is defined, and we prove it can be embedded in the category of fuzzy topological spaces <inline-formula> <tex-math> <?CDATA ${\mathbb{F}}TOP$?> </tex-math> <math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="block" overflow="scroll"> <mrow> <mi mathvariant="double-struck">F</mi> <mi>T</mi> <mi>O</mi> <mi>P</mi> </mrow> </math> <inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="MSE_571_1_012026_ieqn2.gif" xlink:type="simple"></inline-graphic> </inline-formula>.

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Publication Date

Sun Feb 01 2015

Journal Name

Journal Of Economics And Administrative Sciences

Use of model sales man fuzzy multi-objective linear for speed up and rationing in the transport mechanism used in the General Company for grain Processing

مشكلة رجل مبيعات- أسلوب البرمجة الخطية الضبابية- أسلوب الامثلية الضبابية الحدسية- مستوى الطموح- مؤشر السماح - مؤشر الرفض

Traveling salesman problem - methods to solve of fuzzy multi objective linear programming - methods to solve of Intuitionists fuzzy optimization - aspiration levels - tolerances level of acceptance - level of rejection tolerances

عبد الجبار خضر

علي حمدان

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Applications of quantitative methods, which had been explicit attention during previous period (the last two centuries) is the method of application sales man or traveling salesman method. According to this interest by the actual need for a lot of the production sectors and companies that distribute their products, whether locally made or the imported for customers or other industry sectors where most of the productive sectors and companies distributed always aspired to (increase profits, imports, the production quantity, quantity of exports. etc. ...) this is the part of the other hand, want to behave during the process of distribution routes that achieve the best or the least or most appropriate.

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